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Finding the Fourth Proportional to 702,909.78, 970,087.11 and 506,837.55

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Solution

The fourth proportional to 702,909.78, 970,087.11 and 506,837.55 is: 699,487.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,909.78 : 970,087.11 = 506,837.55 : x
  2. Step 2: Convert to fraction form
    702,909.78/970,087.11 = 506,837.55/x
  3. Step 3: Cross multiply
    702,909.78x = 970,087.11 × 506,837.55
  4. Step 4: Simplify right side
    702,909.78x = 491,676,574,118.98
  5. Step 5: Solve for x
    x = 491,676,574,118.98/702,909.78
  6. Step 6: Final answer
    x = 699,487.46

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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.