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Finding the Fourth Proportional to 313,018.16, 469,585.62 and 142,251.89

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Solution

The fourth proportional to 313,018.16, 469,585.62 and 142,251.89 is: 213,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,018.16 : 469,585.62 = 142,251.89 : x
  2. Step 2: Convert to fraction form
    313,018.16/469,585.62 = 142,251.89/x
  3. Step 3: Cross multiply
    313,018.16x = 469,585.62 × 142,251.89
  4. Step 4: Simplify right side
    313,018.16x = 66,799,439,613.89
  5. Step 5: Solve for x
    x = 66,799,439,613.89/313,018.16
  6. Step 6: Final answer
    x = 213,404.36

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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.