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Finding the Fourth Proportional to 472,245.76, 708,417.60 and 272,790.40

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Solution

The fourth proportional to 472,245.76, 708,417.60 and 272,790.40 is: 409,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,245.76 : 708,417.60 = 272,790.40 : x
  2. Step 2: Convert to fraction form
    472,245.76/708,417.60 = 272,790.40/x
  3. Step 3: Cross multiply
    472,245.76x = 708,417.60 × 272,790.40
  4. Step 4: Simplify right side
    472,245.76x = 193,249,520,471.04
  5. Step 5: Solve for x
    x = 193,249,520,471.04/472,245.76
  6. Step 6: Final answer
    x = 409,213.88

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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.