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Finding the Fourth Proportional to 542,877.60, 813,087.60 and 321,693.60

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Solution

The fourth proportional to 542,877.60, 813,087.60 and 321,693.60 is: 481,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,877.60 : 813,087.60 = 321,693.60 : x
  2. Step 2: Convert to fraction form
    542,877.60/813,087.60 = 321,693.60/x
  3. Step 3: Cross multiply
    542,877.60x = 813,087.60 × 321,693.60
  4. Step 4: Simplify right side
    542,877.60x = 261,565,077,159.36
  5. Step 5: Solve for x
    x = 261,565,077,159.36/542,877.60
  6. Step 6: Final answer
    x = 481,812.25

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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.