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Finding the Fourth Proportional to 502,142.13, 692,953.91 and 272,697.61

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Solution

The fourth proportional to 502,142.13, 692,953.91 and 272,697.61 is: 376,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,142.13 : 692,953.91 = 272,697.61 : x
  2. Step 2: Convert to fraction form
    502,142.13/692,953.91 = 272,697.61/x
  3. Step 3: Cross multiply
    502,142.13x = 692,953.91 × 272,697.61
  4. Step 4: Simplify right side
    502,142.13x = 188,966,875,097.16
  5. Step 5: Solve for x
    x = 188,966,875,097.16/502,142.13
  6. Step 6: Final answer
    x = 376,321.49

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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.