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Finding the Fourth Proportional to 312,785.76, 469,072.80 and 102,371.52

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Solution

The fourth proportional to 312,785.76, 469,072.80 and 102,371.52 is: 153,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,785.76 : 469,072.80 = 102,371.52 : x
  2. Step 2: Convert to fraction form
    312,785.76/469,072.80 = 102,371.52/x
  3. Step 3: Cross multiply
    312,785.76x = 469,072.80 × 102,371.52
  4. Step 4: Simplify right side
    312,785.76x = 48,019,695,526.66
  5. Step 5: Solve for x
    x = 48,019,695,526.66/312,785.76
  6. Step 6: Final answer
    x = 153,522.64

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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.