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Finding the Fourth Proportional to 370,562.78, 511,363.32 and 209,414.30

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Solution

The fourth proportional to 370,562.78, 511,363.32 and 209,414.30 is: 288,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,562.78 : 511,363.32 = 209,414.30 : x
  2. Step 2: Convert to fraction form
    370,562.78/511,363.32 = 209,414.30/x
  3. Step 3: Cross multiply
    370,562.78x = 511,363.32 × 209,414.30
  4. Step 4: Simplify right side
    370,562.78x = 107,086,791,703.48
  5. Step 5: Solve for x
    x = 107,086,791,703.48/370,562.78
  6. Step 6: Final answer
    x = 288,984.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.