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Finding the Fourth Proportional to 283,156.47, 424,607.63 and 83,406.87

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Solution

The fourth proportional to 283,156.47, 424,607.63 and 83,406.87 is: 125,072.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,156.47 : 424,607.63 = 83,406.87 : x
  2. Step 2: Convert to fraction form
    283,156.47/424,607.63 = 83,406.87/x
  3. Step 3: Cross multiply
    283,156.47x = 424,607.63 × 83,406.87
  4. Step 4: Simplify right side
    283,156.47x = 35,415,192,979.38
  5. Step 5: Solve for x
    x = 35,415,192,979.38/283,156.47
  6. Step 6: Final answer
    x = 125,072.87

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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.