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Finding the Fourth Proportional to 398,502, 549,929.20 and 217,213.92

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Solution

The fourth proportional to 398,502, 549,929.20 and 217,213.92 is: 299,753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,502 : 549,929.20 = 217,213.92 : x
  2. Step 2: Convert to fraction form
    398,502/549,929.20 = 217,213.92/x
  3. Step 3: Cross multiply
    398,502x = 549,929.20 × 217,213.92
  4. Step 4: Simplify right side
    398,502x = 119,452,277,254.46
  5. Step 5: Solve for x
    x = 119,452,277,254.46/398,502
  6. Step 6: Final answer
    x = 299,753.27

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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.