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Finding the Fourth Proportional to 398,516.83, 549,942.27 and 217,232.30

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Solution

The fourth proportional to 398,516.83, 549,942.27 and 217,232.30 is: 299,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,516.83 : 549,942.27 = 217,232.30 : x
  2. Step 2: Convert to fraction form
    398,516.83/549,942.27 = 217,232.30/x
  3. Step 3: Cross multiply
    398,516.83x = 549,942.27 × 217,232.30
  4. Step 4: Simplify right side
    398,516.83x = 119,465,221,646.13
  5. Step 5: Solve for x
    x = 119,465,221,646.13/398,516.83
  6. Step 6: Final answer
    x = 299,774.60

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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.