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Finding the Fourth Proportional to 478,224.98, 717,432.07 and 136,671.47

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Solution

The fourth proportional to 478,224.98, 717,432.07 and 136,671.47 is: 205,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,224.98 : 717,432.07 = 136,671.47 : x
  2. Step 2: Convert to fraction form
    478,224.98/717,432.07 = 136,671.47/x
  3. Step 3: Cross multiply
    478,224.98x = 717,432.07 × 136,671.47
  4. Step 4: Simplify right side
    478,224.98x = 98,052,496,667.61
  5. Step 5: Solve for x
    x = 98,052,496,667.61/478,224.98
  6. Step 6: Final answer
    x = 205,034.24

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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.