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Finding the Fourth Proportional to 512,776.80, 707,635.08 and 297,921.24

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Solution

The fourth proportional to 512,776.80, 707,635.08 and 297,921.24 is: 411,133.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,776.80 : 707,635.08 = 297,921.24 : x
  2. Step 2: Convert to fraction form
    512,776.80/707,635.08 = 297,921.24/x
  3. Step 3: Cross multiply
    512,776.80x = 707,635.08 × 297,921.24
  4. Step 4: Simplify right side
    512,776.80x = 210,819,520,501.10
  5. Step 5: Solve for x
    x = 210,819,520,501.10/512,776.80
  6. Step 6: Final answer
    x = 411,133.11

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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.