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Finding the Fourth Proportional to 457,351.93, 686,100.62 and 141,743.53

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Solution

The fourth proportional to 457,351.93, 686,100.62 and 141,743.53 is: 212,637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,351.93 : 686,100.62 = 141,743.53 : x
  2. Step 2: Convert to fraction form
    457,351.93/686,100.62 = 141,743.53/x
  3. Step 3: Cross multiply
    457,351.93x = 686,100.62 × 141,743.53
  4. Step 4: Simplify right side
    457,351.93x = 97,250,323,813.99
  5. Step 5: Solve for x
    x = 97,250,323,813.99/457,351.93
  6. Step 6: Final answer
    x = 212,637.83

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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.