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Finding the Fourth Proportional to 398,444.89, 549,855.72 and 226,372.24

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Solution

The fourth proportional to 398,444.89, 549,855.72 and 226,372.24 is: 312,394.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,444.89 : 549,855.72 = 226,372.24 : x
  2. Step 2: Convert to fraction form
    398,444.89/549,855.72 = 226,372.24/x
  3. Step 3: Cross multiply
    398,444.89x = 549,855.72 × 226,372.24
  4. Step 4: Simplify right side
    398,444.89x = 124,472,071,013.21
  5. Step 5: Solve for x
    x = 124,472,071,013.21/398,444.89
  6. Step 6: Final answer
    x = 312,394.70

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1.5x scale

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.