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Finding the Fourth Proportional to 312,810.78, 469,281.78 and 135,343.02

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Solution

The fourth proportional to 312,810.78, 469,281.78 and 135,343.02 is: 203,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,810.78 : 469,281.78 = 135,343.02 : x
  2. Step 2: Convert to fraction form
    312,810.78/469,281.78 = 135,343.02/x
  3. Step 3: Cross multiply
    312,810.78x = 469,281.78 × 135,343.02
  4. Step 4: Simplify right side
    312,810.78x = 63,514,013,336.18
  5. Step 5: Solve for x
    x = 63,514,013,336.18/312,810.78
  6. Step 6: Final answer
    x = 203,042.92

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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.