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Finding the Fourth Proportional to 511,082.80, 705,308.88 and 284,742.88

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Solution

The fourth proportional to 511,082.80, 705,308.88 and 284,742.88 is: 392,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,082.80 : 705,308.88 = 284,742.88 : x
  2. Step 2: Convert to fraction form
    511,082.80/705,308.88 = 284,742.88/x
  3. Step 3: Cross multiply
    511,082.80x = 705,308.88 × 284,742.88
  4. Step 4: Simplify right side
    511,082.80x = 200,831,681,780.77
  5. Step 5: Solve for x
    x = 200,831,681,780.77/511,082.80
  6. Step 6: Final answer
    x = 392,953.32

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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.