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Finding the Fourth Proportional to 469,934.52, 648,019.32 and 278,910.96

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Solution

The fourth proportional to 469,934.52, 648,019.32 and 278,910.96 is: 384,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,934.52 : 648,019.32 = 278,910.96 : x
  2. Step 2: Convert to fraction form
    469,934.52/648,019.32 = 278,910.96/x
  3. Step 3: Cross multiply
    469,934.52x = 648,019.32 × 278,910.96
  4. Step 4: Simplify right side
    469,934.52x = 180,739,690,639.75
  5. Step 5: Solve for x
    x = 180,739,690,639.75/469,934.52
  6. Step 6: Final answer
    x = 384,606.12

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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.