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Finding the Fourth Proportional to 642,657.61, 885,844.41 and 506,473.12

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Solution

The fourth proportional to 642,657.61, 885,844.41 and 506,473.12 is: 698,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,657.61 : 885,844.41 = 506,473.12 : x
  2. Step 2: Convert to fraction form
    642,657.61/885,844.41 = 506,473.12/x
  3. Step 3: Cross multiply
    642,657.61x = 885,844.41 × 506,473.12
  4. Step 4: Simplify right side
    642,657.61x = 448,656,382,167.26
  5. Step 5: Solve for x
    x = 448,656,382,167.26/642,657.61
  6. Step 6: Final answer
    x = 698,126.62

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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.