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Finding the Fourth Proportional to 462,438.72, 638,152.02 and 258,490.04

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Solution

The fourth proportional to 462,438.72, 638,152.02 and 258,490.04 is: 356,708.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,438.72 : 638,152.02 = 258,490.04 : x
  2. Step 2: Convert to fraction form
    462,438.72/638,152.02 = 258,490.04/x
  3. Step 3: Cross multiply
    462,438.72x = 638,152.02 × 258,490.04
  4. Step 4: Simplify right side
    462,438.72x = 164,955,937,985.12
  5. Step 5: Solve for x
    x = 164,955,937,985.12/462,438.72
  6. Step 6: Final answer
    x = 356,708.75

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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.