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Finding the Fourth Proportional to 398,478.73, 549,895.81 and 217,190.10

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Solution

The fourth proportional to 398,478.73, 549,895.81 and 217,190.10 is: 299,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,478.73 : 549,895.81 = 217,190.10 : x
  2. Step 2: Convert to fraction form
    398,478.73/549,895.81 = 217,190.10/x
  3. Step 3: Cross multiply
    398,478.73x = 549,895.81 × 217,190.10
  4. Step 4: Simplify right side
    398,478.73x = 119,431,925,963.48
  5. Step 5: Solve for x
    x = 119,431,925,963.48/398,478.73
  6. Step 6: Final answer
    x = 299,719.70

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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.