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Finding the Fourth Proportional to 398,038.44, 549,293.06 and 216,750.30

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Solution

The fourth proportional to 398,038.44, 549,293.06 and 216,750.30 is: 299,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,038.44 : 549,293.06 = 216,750.30 : x
  2. Step 2: Convert to fraction form
    398,038.44/549,293.06 = 216,750.30/x
  3. Step 3: Cross multiply
    398,038.44x = 549,293.06 × 216,750.30
  4. Step 4: Simplify right side
    398,038.44x = 119,059,435,542.92
  5. Step 5: Solve for x
    x = 119,059,435,542.92/398,038.44
  6. Step 6: Final answer
    x = 299,115.42

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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.