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Finding the Fourth Proportional to 425,818, 587,633.16 and 256,054.96

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Solution

The fourth proportional to 425,818, 587,633.16 and 256,054.96 is: 353,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,818 : 587,633.16 = 256,054.96 : x
  2. Step 2: Convert to fraction form
    425,818/587,633.16 = 256,054.96/x
  3. Step 3: Cross multiply
    425,818x = 587,633.16 × 256,054.96
  4. Step 4: Simplify right side
    425,818x = 150,466,385,278.47
  5. Step 5: Solve for x
    x = 150,466,385,278.47/425,818
  6. Step 6: Final answer
    x = 353,358.44

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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.