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Finding the Fourth Proportional to 398,302.14, 549,649.35 and 217,011.90

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Solution

The fourth proportional to 398,302.14, 549,649.35 and 217,011.90 is: 299,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,302.14 : 549,649.35 = 217,011.90 : x
  2. Step 2: Convert to fraction form
    398,302.14/549,649.35 = 217,011.90/x
  3. Step 3: Cross multiply
    398,302.14x = 549,649.35 × 217,011.90
  4. Step 4: Simplify right side
    398,302.14x = 119,280,449,777.27
  5. Step 5: Solve for x
    x = 119,280,449,777.27/398,302.14
  6. Step 6: Final answer
    x = 299,472.28

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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.