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Finding the Fourth Proportional to 398,129.68, 549,419.52 and 216,842.32

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Solution

The fourth proportional to 398,129.68, 549,419.52 and 216,842.32 is: 299,242.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,129.68 : 549,419.52 = 216,842.32 : x
  2. Step 2: Convert to fraction form
    398,129.68/549,419.52 = 216,842.32/x
  3. Step 3: Cross multiply
    398,129.68x = 549,419.52 × 216,842.32
  4. Step 4: Simplify right side
    398,129.68x = 119,137,403,370.09
  5. Step 5: Solve for x
    x = 119,137,403,370.09/398,129.68
  6. Step 6: Final answer
    x = 299,242.71

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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.