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Finding the Fourth Proportional to 458,968.32, 688,431.45 and 159,472.34

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Solution

The fourth proportional to 458,968.32, 688,431.45 and 159,472.34 is: 239,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,968.32 : 688,431.45 = 159,472.34 : x
  2. Step 2: Convert to fraction form
    458,968.32/688,431.45 = 159,472.34/x
  3. Step 3: Cross multiply
    458,968.32x = 688,431.45 × 159,472.34
  4. Step 4: Simplify right side
    458,968.32x = 109,785,775,982.17
  5. Step 5: Solve for x
    x = 109,785,775,982.17/458,968.32
  6. Step 6: Final answer
    x = 239,201.21

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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.