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Finding the Fourth Proportional to 348,750, 523,129.86 and 99,432

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Solution

The fourth proportional to 348,750, 523,129.86 and 99,432 is: 149,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,750 : 523,129.86 = 99,432 : x
  2. Step 2: Convert to fraction form
    348,750/523,129.86 = 99,432/x
  3. Step 3: Cross multiply
    348,750x = 523,129.86 × 99,432
  4. Step 4: Simplify right side
    348,750x = 52,015,848,239.52
  5. Step 5: Solve for x
    x = 52,015,848,239.52/348,750
  6. Step 6: Final answer
    x = 149,149.39

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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.