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Finding the Fourth Proportional to 542,085.60, 813,128.40 and 353,128.80

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Solution

The fourth proportional to 542,085.60, 813,128.40 and 353,128.80 is: 529,693.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,085.60 : 813,128.40 = 353,128.80 : x
  2. Step 2: Convert to fraction form
    542,085.60/813,128.40 = 353,128.80/x
  3. Step 3: Cross multiply
    542,085.60x = 813,128.40 × 353,128.80
  4. Step 4: Simplify right side
    542,085.60x = 287,139,056,137.92
  5. Step 5: Solve for x
    x = 287,139,056,137.92/542,085.60
  6. Step 6: Final answer
    x = 529,693.20

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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.