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Finding the Fourth Proportional to 513,978.56, 708,961.32 and 412,248.12

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Solution

The fourth proportional to 513,978.56, 708,961.32 and 412,248.12 is: 568,638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,978.56 : 708,961.32 = 412,248.12 : x
  2. Step 2: Convert to fraction form
    513,978.56/708,961.32 = 412,248.12/x
  3. Step 3: Cross multiply
    513,978.56x = 708,961.32 × 412,248.12
  4. Step 4: Simplify right side
    513,978.56x = 292,267,971,322.72
  5. Step 5: Solve for x
    x = 292,267,971,322.72/513,978.56
  6. Step 6: Final answer
    x = 568,638.45

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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.