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Finding the Fourth Proportional to 397,988, 549,233.28 and 216,709.86

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Solution

The fourth proportional to 397,988, 549,233.28 and 216,709.86 is: 299,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,988 : 549,233.28 = 216,709.86 : x
  2. Step 2: Convert to fraction form
    397,988/549,233.28 = 216,709.86/x
  3. Step 3: Cross multiply
    397,988x = 549,233.28 × 216,709.86
  4. Step 4: Simplify right side
    397,988x = 119,024,267,216.14
  5. Step 5: Solve for x
    x = 119,024,267,216.14/397,988
  6. Step 6: Final answer
    x = 299,064.96

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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.