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Finding the Fourth Proportional to 542,431.60, 813,877.80 and 261,804.40

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Solution

The fourth proportional to 542,431.60, 813,877.80 and 261,804.40 is: 392,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,431.60 : 813,877.80 = 261,804.40 : x
  2. Step 2: Convert to fraction form
    542,431.60/813,877.80 = 261,804.40/x
  3. Step 3: Cross multiply
    542,431.60x = 813,877.80 × 261,804.40
  4. Step 4: Simplify right side
    542,431.60x = 213,076,789,102.32
  5. Step 5: Solve for x
    x = 213,076,789,102.32/542,431.60
  6. Step 6: Final answer
    x = 392,817.80

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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.