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Finding the Fourth Proportional to 398,517.60, 549,937.68 and 217,225.56

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Solution

The fourth proportional to 398,517.60, 549,937.68 and 217,225.56 is: 299,762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,517.60 : 549,937.68 = 217,225.56 : x
  2. Step 2: Convert to fraction form
    398,517.60/549,937.68 = 217,225.56/x
  3. Step 3: Cross multiply
    398,517.60x = 549,937.68 × 217,225.56
  4. Step 4: Simplify right side
    398,517.60x = 119,460,520,503.10
  5. Step 5: Solve for x
    x = 119,460,520,503.10/398,517.60
  6. Step 6: Final answer
    x = 299,762.22

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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.