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Finding the Fourth Proportional to 522,702.67, 721,373.16 and 290,151.50

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Solution

The fourth proportional to 522,702.67, 721,373.16 and 290,151.50 is: 400,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,702.67 : 721,373.16 = 290,151.50 : x
  2. Step 2: Convert to fraction form
    522,702.67/721,373.16 = 290,151.50/x
  3. Step 3: Cross multiply
    522,702.67x = 721,373.16 × 290,151.50
  4. Step 4: Simplify right side
    522,702.67x = 209,307,503,943.80
  5. Step 5: Solve for x
    x = 209,307,503,943.80/522,702.67
  6. Step 6: Final answer
    x = 400,433.20

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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.