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Finding the Fourth Proportional to 1,006,992,001.20, 1,510,488,001.80 and 734,894,209.20

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Solution

The fourth proportional to 1,006,992,001.20, 1,510,488,001.80 and 734,894,209.20 is: 1,102,341,313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,992,001.20 : 1,510,488,001.80 = 734,894,209.20 : x
  2. Step 2: Convert to fraction form
    1,006,992,001.20/1,510,488,001.80 = 734,894,209.20/x
  3. Step 3: Cross multiply
    1,006,992,001.20x = 1,510,488,001.80 × 734,894,209.20
  4. Step 4: Simplify right side
    1,006,992,001.20x = 1,110,048,885,588,899,200
  5. Step 5: Solve for x
    x = 1,110,048,885,588,899,200/1,006,992,001.20
  6. Step 6: Final answer
    x = 1,102,341,313.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.