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Finding the Fourth Proportional to 511,857.20, 766,677.72 and 371,306

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Solution

The fourth proportional to 511,857.20, 766,677.72 and 371,306 is: 556,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,857.20 : 766,677.72 = 371,306 : x
  2. Step 2: Convert to fraction form
    511,857.20/766,677.72 = 371,306/x
  3. Step 3: Cross multiply
    511,857.20x = 766,677.72 × 371,306
  4. Step 4: Simplify right side
    511,857.20x = 284,672,037,502.32
  5. Step 5: Solve for x
    x = 284,672,037,502.32/511,857.20
  6. Step 6: Final answer
    x = 556,155.19

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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.