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Finding the Fourth Proportional to 642,988.83, 887,144.94 and 506,599.41

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Solution

The fourth proportional to 642,988.83, 887,144.94 and 506,599.41 is: 698,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,988.83 : 887,144.94 = 506,599.41 : x
  2. Step 2: Convert to fraction form
    642,988.83/887,144.94 = 506,599.41/x
  3. Step 3: Cross multiply
    642,988.83x = 887,144.94 × 506,599.41
  4. Step 4: Simplify right side
    642,988.83x = 449,427,103,188.49
  5. Step 5: Solve for x
    x = 449,427,103,188.49/642,988.83
  6. Step 6: Final answer
    x = 698,965.65

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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.