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Finding the Fourth Proportional to 398,394.86, 549,765.33 and 217,106.22

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Solution

The fourth proportional to 398,394.86, 549,765.33 and 217,106.22 is: 299,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,394.86 : 549,765.33 = 217,106.22 : x
  2. Step 2: Convert to fraction form
    398,394.86/549,765.33 = 217,106.22/x
  3. Step 3: Cross multiply
    398,394.86x = 549,765.33 × 217,106.22
  4. Step 4: Simplify right side
    398,394.86x = 119,357,473,930.82
  5. Step 5: Solve for x
    x = 119,357,473,930.82/398,394.86
  6. Step 6: Final answer
    x = 299,595.92

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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.