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Finding the Fourth Proportional to 511,517,363.80, 767,276,045.70 and 188,359,245.40

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Solution

The fourth proportional to 511,517,363.80, 767,276,045.70 and 188,359,245.40 is: 282,538,868.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,517,363.80 : 767,276,045.70 = 188,359,245.40 : x
  2. Step 2: Convert to fraction form
    511,517,363.80/767,276,045.70 = 188,359,245.40/x
  3. Step 3: Cross multiply
    511,517,363.80x = 767,276,045.70 × 188,359,245.40
  4. Step 4: Simplify right side
    511,517,363.80x = 144,523,536,981,547,936
  5. Step 5: Solve for x
    x = 144,523,536,981,547,936/511,517,363.80
  6. Step 6: Final answer
    x = 282,538,868.10

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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.