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Finding the Fourth Proportional to 837,680.64, 1,255,607.04 and 411,509.76

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Solution

The fourth proportional to 837,680.64, 1,255,607.04 and 411,509.76 is: 616,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,680.64 : 1,255,607.04 = 411,509.76 : x
  2. Step 2: Convert to fraction form
    837,680.64/1,255,607.04 = 411,509.76/x
  3. Step 3: Cross multiply
    837,680.64x = 1,255,607.04 × 411,509.76
  4. Step 4: Simplify right side
    837,680.64x = 516,694,551,684.71
  5. Step 5: Solve for x
    x = 516,694,551,684.71/837,680.64
  6. Step 6: Final answer
    x = 616,815.68

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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.