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Finding the Fourth Proportional to 458,135.04, 686,463.84 and 247,872

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Solution

The fourth proportional to 458,135.04, 686,463.84 and 247,872 is: 371,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,135.04 : 686,463.84 = 247,872 : x
  2. Step 2: Convert to fraction form
    458,135.04/686,463.84 = 247,872/x
  3. Step 3: Cross multiply
    458,135.04x = 686,463.84 × 247,872
  4. Step 4: Simplify right side
    458,135.04x = 170,155,164,948.48
  5. Step 5: Solve for x
    x = 170,155,164,948.48/458,135.04
  6. Step 6: Final answer
    x = 371,408.32

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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.