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Finding the Fourth Proportional to 542,020.52, 812,143.80 and 328,140.14

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Solution

The fourth proportional to 542,020.52, 812,143.80 and 328,140.14 is: 491,673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,020.52 : 812,143.80 = 328,140.14 : x
  2. Step 2: Convert to fraction form
    542,020.52/812,143.80 = 328,140.14/x
  3. Step 3: Cross multiply
    542,020.52x = 812,143.80 × 328,140.14
  4. Step 4: Simplify right side
    542,020.52x = 266,496,980,232.13
  5. Step 5: Solve for x
    x = 266,496,980,232.13/542,020.52
  6. Step 6: Final answer
    x = 491,673.23

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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.