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Finding the Fourth Proportional to 398,275.88, 549,604.86 and 216,989.24

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Solution

The fourth proportional to 398,275.88, 549,604.86 and 216,989.24 is: 299,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,275.88 : 549,604.86 = 216,989.24 : x
  2. Step 2: Convert to fraction form
    398,275.88/549,604.86 = 216,989.24/x
  3. Step 3: Cross multiply
    398,275.88x = 549,604.86 × 216,989.24
  4. Step 4: Simplify right side
    398,275.88x = 119,258,340,871.71
  5. Step 5: Solve for x
    x = 119,258,340,871.71/398,275.88
  6. Step 6: Final answer
    x = 299,436.51

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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.