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Finding the Fourth Proportional to 510,862.43, 766,386.59 and 211,180.25

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Solution

The fourth proportional to 510,862.43, 766,386.59 and 211,180.25 is: 316,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,862.43 : 766,386.59 = 211,180.25 : x
  2. Step 2: Convert to fraction form
    510,862.43/766,386.59 = 211,180.25/x
  3. Step 3: Cross multiply
    510,862.43x = 766,386.59 × 211,180.25
  4. Step 4: Simplify right side
    510,862.43x = 161,845,711,672.85
  5. Step 5: Solve for x
    x = 161,845,711,672.85/510,862.43
  6. Step 6: Final answer
    x = 316,808.80

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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.