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Finding the Fourth Proportional to 398,426.47, 549,812.48 and 217,134.50

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Solution

The fourth proportional to 398,426.47, 549,812.48 and 217,134.50 is: 299,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,426.47 : 549,812.48 = 217,134.50 : x
  2. Step 2: Convert to fraction form
    398,426.47/549,812.48 = 217,134.50/x
  3. Step 3: Cross multiply
    398,426.47x = 549,812.48 × 217,134.50
  4. Step 4: Simplify right side
    398,426.47x = 119,383,257,482.25
  5. Step 5: Solve for x
    x = 119,383,257,482.25/398,426.47
  6. Step 6: Final answer
    x = 299,636.86

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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.