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Finding the Fourth Proportional to 398,352.42, 549,726.42 and 217,064.38

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Solution

The fourth proportional to 398,352.42, 549,726.42 and 217,064.38 is: 299,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,352.42 : 549,726.42 = 217,064.38 : x
  2. Step 2: Convert to fraction form
    398,352.42/549,726.42 = 217,064.38/x
  3. Step 3: Cross multiply
    398,352.42x = 549,726.42 × 217,064.38
  4. Step 4: Simplify right side
    398,352.42x = 119,326,024,526.92
  5. Step 5: Solve for x
    x = 119,326,024,526.92/398,352.42
  6. Step 6: Final answer
    x = 299,548.89

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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.