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Finding the Fourth Proportional to 460,615.87, 690,948.56 and 145,097.47

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Solution

The fourth proportional to 460,615.87, 690,948.56 and 145,097.47 is: 217,654.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,615.87 : 690,948.56 = 145,097.47 : x
  2. Step 2: Convert to fraction form
    460,615.87/690,948.56 = 145,097.47/x
  3. Step 3: Cross multiply
    460,615.87x = 690,948.56 × 145,097.47
  4. Step 4: Simplify right side
    460,615.87x = 100,254,887,956.14
  5. Step 5: Solve for x
    x = 100,254,887,956.14/460,615.87
  6. Step 6: Final answer
    x = 217,654.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.