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Finding the Fourth Proportional to 398,044, 549,292.84 and 216,758.08

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Solution

The fourth proportional to 398,044, 549,292.84 and 216,758.08 is: 299,121.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,044 : 549,292.84 = 216,758.08 : x
  2. Step 2: Convert to fraction form
    398,044/549,292.84 = 216,758.08/x
  3. Step 3: Cross multiply
    398,044x = 549,292.84 × 216,758.08
  4. Step 4: Simplify right side
    398,044x = 119,063,661,356.15
  5. Step 5: Solve for x
    x = 119,063,661,356.15/398,044
  6. Step 6: Final answer
    x = 299,121.86

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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.