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Finding the Fourth Proportional to 510,655, 766,332.48 and 178,231

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Solution

The fourth proportional to 510,655, 766,332.48 and 178,231 is: 267,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,655 : 766,332.48 = 178,231 : x
  2. Step 2: Convert to fraction form
    510,655/766,332.48 = 178,231/x
  3. Step 3: Cross multiply
    510,655x = 766,332.48 × 178,231
  4. Step 4: Simplify right side
    510,655x = 136,584,204,242.88
  5. Step 5: Solve for x
    x = 136,584,204,242.88/510,655
  6. Step 6: Final answer
    x = 267,468.65

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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.