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Finding the Fourth Proportional to 292,513.40, 438,770.10 and 142,849.70

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Solution

The fourth proportional to 292,513.40, 438,770.10 and 142,849.70 is: 214,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,513.40 : 438,770.10 = 142,849.70 : x
  2. Step 2: Convert to fraction form
    292,513.40/438,770.10 = 142,849.70/x
  3. Step 3: Cross multiply
    292,513.40x = 438,770.10 × 142,849.70
  4. Step 4: Simplify right side
    292,513.40x = 62,678,177,153.97
  5. Step 5: Solve for x
    x = 62,678,177,153.97/292,513.40
  6. Step 6: Final answer
    x = 214,274.55

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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.