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Finding the Fourth Proportional to 392,701.96, 588,877.98 and 143,209

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Solution

The fourth proportional to 392,701.96, 588,877.98 and 143,209 is: 214,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,701.96 : 588,877.98 = 143,209 : x
  2. Step 2: Convert to fraction form
    392,701.96/588,877.98 = 143,209/x
  3. Step 3: Cross multiply
    392,701.96x = 588,877.98 × 143,209
  4. Step 4: Simplify right side
    392,701.96x = 84,332,626,637.82
  5. Step 5: Solve for x
    x = 84,332,626,637.82/392,701.96
  6. Step 6: Final answer
    x = 214,749.70

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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.