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Finding the Fourth Proportional to 290,463.10, 435,682.80 and 100,966.43

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Solution

The fourth proportional to 290,463.10, 435,682.80 and 100,966.43 is: 151,445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,463.10 : 435,682.80 = 100,966.43 : x
  2. Step 2: Convert to fraction form
    290,463.10/435,682.80 = 100,966.43/x
  3. Step 3: Cross multiply
    290,463.10x = 435,682.80 × 100,966.43
  4. Step 4: Simplify right side
    290,463.10x = 43,989,338,017.61
  5. Step 5: Solve for x
    x = 43,989,338,017.61/290,463.10
  6. Step 6: Final answer
    x = 151,445.53

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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.