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Finding the Fourth Proportional to 280,538.34, 420,862.41 and 103,046.73

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Solution

The fourth proportional to 280,538.34, 420,862.41 and 103,046.73 is: 154,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,538.34 : 420,862.41 = 103,046.73 : x
  2. Step 2: Convert to fraction form
    280,538.34/420,862.41 = 103,046.73/x
  3. Step 3: Cross multiply
    280,538.34x = 420,862.41 × 103,046.73
  4. Step 4: Simplify right side
    280,538.34x = 43,368,495,130.42
  5. Step 5: Solve for x
    x = 43,368,495,130.42/280,538.34
  6. Step 6: Final answer
    x = 154,590.26

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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.