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Finding the Fourth Proportional to 458,956.31, 688,006.44 and 155,139.08

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Solution

The fourth proportional to 458,956.31, 688,006.44 and 155,139.08 is: 232,563.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,956.31 : 688,006.44 = 155,139.08 : x
  2. Step 2: Convert to fraction form
    458,956.31/688,006.44 = 155,139.08/x
  3. Step 3: Cross multiply
    458,956.31x = 688,006.44 × 155,139.08
  4. Step 4: Simplify right side
    458,956.31x = 106,736,682,695.64
  5. Step 5: Solve for x
    x = 106,736,682,695.64/458,956.31
  6. Step 6: Final answer
    x = 232,563.93

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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.