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Finding the Fourth Proportional to 458,956.81, 688,007.19 and 155,139.58

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Solution

The fourth proportional to 458,956.81, 688,007.19 and 155,139.58 is: 232,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956.81 : 688,007.19 = 155,139.58 : x
  2. Step 2: Convert to fraction form
    458,956.81/688,007.19 = 155,139.58/x
  3. Step 3: Cross multiply
    458,956.81x = 688,007.19 × 155,139.58
  4. Step 4: Simplify right side
    458,956.81x = 106,737,143,053.54
  5. Step 5: Solve for x
    x = 106,737,143,053.54/458,956.81
  6. Step 6: Final answer
    x = 232,564.68

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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.