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Finding the Fourth Proportional to 398,066.32, 549,332 and 216,778.56

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Solution

The fourth proportional to 398,066.32, 549,332 and 216,778.56 is: 299,154.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,066.32 : 549,332 = 216,778.56 : x
  2. Step 2: Convert to fraction form
    398,066.32/549,332 = 216,778.56/x
  3. Step 3: Cross multiply
    398,066.32x = 549,332 × 216,778.56
  4. Step 4: Simplify right side
    398,066.32x = 119,083,399,921.92
  5. Step 5: Solve for x
    x = 119,083,399,921.92/398,066.32
  6. Step 6: Final answer
    x = 299,154.67

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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.