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Finding the Fourth Proportional to 238,543.80, 357,815.70 and 228,305.40

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Solution

The fourth proportional to 238,543.80, 357,815.70 and 228,305.40 is: 342,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,543.80 : 357,815.70 = 228,305.40 : x
  2. Step 2: Convert to fraction form
    238,543.80/357,815.70 = 228,305.40/x
  3. Step 3: Cross multiply
    238,543.80x = 357,815.70 × 228,305.40
  4. Step 4: Simplify right side
    238,543.80x = 81,691,256,514.78
  5. Step 5: Solve for x
    x = 81,691,256,514.78/238,543.80
  6. Step 6: Final answer
    x = 342,458.10

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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.