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Finding the Fourth Proportional to 398,477.46, 549,895.40 and 217,189.40

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Solution

The fourth proportional to 398,477.46, 549,895.40 and 217,189.40 is: 299,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,477.46 : 549,895.40 = 217,189.40 : x
  2. Step 2: Convert to fraction form
    398,477.46/549,895.40 = 217,189.40/x
  3. Step 3: Cross multiply
    398,477.46x = 549,895.40 × 217,189.40
  4. Step 4: Simplify right side
    398,477.46x = 119,431,451,988.76
  5. Step 5: Solve for x
    x = 119,431,451,988.76/398,477.46
  6. Step 6: Final answer
    x = 299,719.47

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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.