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Finding the Fourth Proportional to 704,857, 972,260.10 and 418,174.12

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Solution

The fourth proportional to 704,857, 972,260.10 and 418,174.12 is: 576,817.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,857 : 972,260.10 = 418,174.12 : x
  2. Step 2: Convert to fraction form
    704,857/972,260.10 = 418,174.12/x
  3. Step 3: Cross multiply
    704,857x = 972,260.10 × 418,174.12
  4. Step 4: Simplify right side
    704,857x = 406,574,011,728.61
  5. Step 5: Solve for x
    x = 406,574,011,728.61/704,857
  6. Step 6: Final answer
    x = 576,817.73

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1.5x scale

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.