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Finding the Fourth Proportional to 452,421.72, 678,747.45 and 209,437.97

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Solution

The fourth proportional to 452,421.72, 678,747.45 and 209,437.97 is: 314,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,421.72 : 678,747.45 = 209,437.97 : x
  2. Step 2: Convert to fraction form
    452,421.72/678,747.45 = 209,437.97/x
  3. Step 3: Cross multiply
    452,421.72x = 678,747.45 × 209,437.97
  4. Step 4: Simplify right side
    452,421.72x = 142,155,488,070.68
  5. Step 5: Solve for x
    x = 142,155,488,070.68/452,421.72
  6. Step 6: Final answer
    x = 314,210.13

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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.