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Finding the Fourth Proportional to 577,286.20, 864,617.10 and 296,475.40

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Solution

The fourth proportional to 577,286.20, 864,617.10 and 296,475.40 is: 444,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,286.20 : 864,617.10 = 296,475.40 : x
  2. Step 2: Convert to fraction form
    577,286.20/864,617.10 = 296,475.40/x
  3. Step 3: Cross multiply
    577,286.20x = 864,617.10 × 296,475.40
  4. Step 4: Simplify right side
    577,286.20x = 256,337,700,569.34
  5. Step 5: Solve for x
    x = 256,337,700,569.34/577,286.20
  6. Step 6: Final answer
    x = 444,039.20

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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.