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Finding the Fourth Proportional to 398,558.50, 549,983.19 and 224,154.82

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Solution

The fourth proportional to 398,558.50, 549,983.19 and 224,154.82 is: 309,318.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,558.50 : 549,983.19 = 224,154.82 : x
  2. Step 2: Convert to fraction form
    398,558.50/549,983.19 = 224,154.82/x
  3. Step 3: Cross multiply
    398,558.50x = 549,983.19 × 224,154.82
  4. Step 4: Simplify right side
    398,558.50x = 123,281,382,957.48
  5. Step 5: Solve for x
    x = 123,281,382,957.48/398,558.50
  6. Step 6: Final answer
    x = 309,318.16

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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.