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Finding the Fourth Proportional to 394,739.40, 592,109.10 and 99,251.40

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Solution

The fourth proportional to 394,739.40, 592,109.10 and 99,251.40 is: 148,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,739.40 : 592,109.10 = 99,251.40 : x
  2. Step 2: Convert to fraction form
    394,739.40/592,109.10 = 99,251.40/x
  3. Step 3: Cross multiply
    394,739.40x = 592,109.10 × 99,251.40
  4. Step 4: Simplify right side
    394,739.40x = 58,767,657,127.74
  5. Step 5: Solve for x
    x = 58,767,657,127.74/394,739.40
  6. Step 6: Final answer
    x = 148,877.10

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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.