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Finding the Fourth Proportional to 348,736, 523,108.86 and 99,418

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Solution

The fourth proportional to 348,736, 523,108.86 and 99,418 is: 149,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,736 : 523,108.86 = 99,418 : x
  2. Step 2: Convert to fraction form
    348,736/523,108.86 = 99,418/x
  3. Step 3: Cross multiply
    348,736x = 523,108.86 × 99,418
  4. Step 4: Simplify right side
    348,736x = 52,006,436,643.48
  5. Step 5: Solve for x
    x = 52,006,436,643.48/348,736
  6. Step 6: Final answer
    x = 149,128.39

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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.