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Finding the Fourth Proportional to 398,160.72, 549,457.11 and 216,872.07

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Solution

The fourth proportional to 398,160.72, 549,457.11 and 216,872.07 is: 299,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,160.72 : 549,457.11 = 216,872.07 : x
  2. Step 2: Convert to fraction form
    398,160.72/549,457.11 = 216,872.07/x
  3. Step 3: Cross multiply
    398,160.72x = 549,457.11 × 216,872.07
  4. Step 4: Simplify right side
    398,160.72x = 119,161,900,821.92
  5. Step 5: Solve for x
    x = 119,161,900,821.92/398,160.72
  6. Step 6: Final answer
    x = 299,280.91

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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.