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Finding the Fourth Proportional to 348,789, 523,188.42 and 99,471

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Solution

The fourth proportional to 348,789, 523,188.42 and 99,471 is: 149,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,789 : 523,188.42 = 99,471 : x
  2. Step 2: Convert to fraction form
    348,789/523,188.42 = 99,471/x
  3. Step 3: Cross multiply
    348,789x = 523,188.42 × 99,471
  4. Step 4: Simplify right side
    348,789x = 52,042,075,325.82
  5. Step 5: Solve for x
    x = 52,042,075,325.82/348,789
  6. Step 6: Final answer
    x = 149,207.90

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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.