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Finding the Fourth Proportional to 280,591.17, 420,646.19 and 103,006.77

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Solution

The fourth proportional to 280,591.17, 420,646.19 and 103,006.77 is: 154,421.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,591.17 : 420,646.19 = 103,006.77 : x
  2. Step 2: Convert to fraction form
    280,591.17/420,646.19 = 103,006.77/x
  3. Step 3: Cross multiply
    280,591.17x = 420,646.19 × 103,006.77
  4. Step 4: Simplify right side
    280,591.17x = 43,329,404,829.67
  5. Step 5: Solve for x
    x = 43,329,404,829.67/280,591.17
  6. Step 6: Final answer
    x = 154,421.84

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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.