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Finding the Fourth Proportional to 510,543.50, 766,165.20 and 178,119.50

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Solution

The fourth proportional to 510,543.50, 766,165.20 and 178,119.50 is: 267,301.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,543.50 : 766,165.20 = 178,119.50 : x
  2. Step 2: Convert to fraction form
    510,543.50/766,165.20 = 178,119.50/x
  3. Step 3: Cross multiply
    510,543.50x = 766,165.20 × 178,119.50
  4. Step 4: Simplify right side
    510,543.50x = 136,468,962,341.40
  5. Step 5: Solve for x
    x = 136,468,962,341.40/510,543.50
  6. Step 6: Final answer
    x = 267,301.34

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1.5x scale

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.