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Finding the Fourth Proportional to 653,687.87, 902,127.80 and 492,258.11

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Solution

The fourth proportional to 653,687.87, 902,127.80 and 492,258.11 is: 679,345.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,687.87 : 902,127.80 = 492,258.11 : x
  2. Step 2: Convert to fraction form
    653,687.87/902,127.80 = 492,258.11/x
  3. Step 3: Cross multiply
    653,687.87x = 902,127.80 × 492,258.11
  4. Step 4: Simplify right side
    653,687.87x = 444,079,723,345.17
  5. Step 5: Solve for x
    x = 444,079,723,345.17/653,687.87
  6. Step 6: Final answer
    x = 679,345.21

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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.