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Finding the Fourth Proportional to 471,099.90, 650,058.80 and 318,470.18

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Solution

The fourth proportional to 471,099.90, 650,058.80 and 318,470.18 is: 439,448.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,099.90 : 650,058.80 = 318,470.18 : x
  2. Step 2: Convert to fraction form
    471,099.90/650,058.80 = 318,470.18/x
  3. Step 3: Cross multiply
    471,099.90x = 650,058.80 × 318,470.18
  4. Step 4: Simplify right side
    471,099.90x = 207,024,343,046.58
  5. Step 5: Solve for x
    x = 207,024,343,046.58/471,099.90
  6. Step 6: Final answer
    x = 439,448.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.