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Finding the Fourth Proportional to 398,424.56, 549,809.82 and 217,132.64

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Solution

The fourth proportional to 398,424.56, 549,809.82 and 217,132.64 is: 299,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,424.56 : 549,809.82 = 217,132.64 : x
  2. Step 2: Convert to fraction form
    398,424.56/549,809.82 = 217,132.64/x
  3. Step 3: Cross multiply
    398,424.56x = 549,809.82 × 217,132.64
  4. Step 4: Simplify right side
    398,424.56x = 119,381,657,714.53
  5. Step 5: Solve for x
    x = 119,381,657,714.53/398,424.56
  6. Step 6: Final answer
    x = 299,634.28

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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.