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Finding the Fourth Proportional to 753,164, 1,038,909.90 and 447,038.68

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Solution

The fourth proportional to 753,164, 1,038,909.90 and 447,038.68 is: 616,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,164 : 1,038,909.90 = 447,038.68 : x
  2. Step 2: Convert to fraction form
    753,164/1,038,909.90 = 447,038.68/x
  3. Step 3: Cross multiply
    753,164x = 1,038,909.90 × 447,038.68
  4. Step 4: Simplify right side
    753,164x = 464,432,910,334.93
  5. Step 5: Solve for x
    x = 464,432,910,334.93/753,164
  6. Step 6: Final answer
    x = 616,642.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.