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Finding the Fourth Proportional to 630,653.31, 871,249.37 and 413,377.70

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Solution

The fourth proportional to 630,653.31, 871,249.37 and 413,377.70 is: 571,082.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,653.31 : 871,249.37 = 413,377.70 : x
  2. Step 2: Convert to fraction form
    630,653.31/871,249.37 = 413,377.70/x
  3. Step 3: Cross multiply
    630,653.31x = 871,249.37 × 413,377.70
  4. Step 4: Simplify right side
    630,653.31x = 360,155,054,273.91
  5. Step 5: Solve for x
    x = 360,155,054,273.91/630,653.31
  6. Step 6: Final answer
    x = 571,082.48

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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.