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Finding the Fourth Proportional to 319,597.48, 478,778.02 and 267,689.86

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Solution

The fourth proportional to 319,597.48, 478,778.02 and 267,689.86 is: 401,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,597.48 : 478,778.02 = 267,689.86 : x
  2. Step 2: Convert to fraction form
    319,597.48/478,778.02 = 267,689.86/x
  3. Step 3: Cross multiply
    319,597.48x = 478,778.02 × 267,689.86
  4. Step 4: Simplify right side
    319,597.48x = 128,164,019,278.71
  5. Step 5: Solve for x
    x = 128,164,019,278.71/319,597.48
  6. Step 6: Final answer
    x = 401,016.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.