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Finding the Fourth Proportional to 398,472.47, 549,888.50 and 217,184.40

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Solution

The fourth proportional to 398,472.47, 549,888.50 and 217,184.40 is: 299,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,472.47 : 549,888.50 = 217,184.40 : x
  2. Step 2: Convert to fraction form
    398,472.47/549,888.50 = 217,184.40/x
  3. Step 3: Cross multiply
    398,472.47x = 549,888.50 × 217,184.40
  4. Step 4: Simplify right side
    398,472.47x = 119,427,202,853.48
  5. Step 5: Solve for x
    x = 119,427,202,853.48/398,472.47
  6. Step 6: Final answer
    x = 299,712.56

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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.