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Finding the Fourth Proportional to 398,516.10, 549,932.13 and 226,411.50

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Solution

The fourth proportional to 398,516.10, 549,932.13 and 226,411.50 is: 312,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,516.10 : 549,932.13 = 226,411.50 : x
  2. Step 2: Convert to fraction form
    398,516.10/549,932.13 = 226,411.50/x
  3. Step 3: Cross multiply
    398,516.10x = 549,932.13 × 226,411.50
  4. Step 4: Simplify right side
    398,516.10x = 124,510,958,451.50
  5. Step 5: Solve for x
    x = 124,510,958,451.50/398,516.10
  6. Step 6: Final answer
    x = 312,436.46

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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.