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Finding the Fourth Proportional to 511,244.40, 766,981.80 and 156,274.80

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Solution

The fourth proportional to 511,244.40, 766,981.80 and 156,274.80 is: 234,447.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,244.40 : 766,981.80 = 156,274.80 : x
  2. Step 2: Convert to fraction form
    511,244.40/766,981.80 = 156,274.80/x
  3. Step 3: Cross multiply
    511,244.40x = 766,981.80 × 156,274.80
  4. Step 4: Simplify right side
    511,244.40x = 119,859,927,398.64
  5. Step 5: Solve for x
    x = 119,859,927,398.64/511,244.40
  6. Step 6: Final answer
    x = 234,447.41

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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.