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Finding the Fourth Proportional to 287,908.32, 431,863.20 and 147,590.40

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Solution

The fourth proportional to 287,908.32, 431,863.20 and 147,590.40 is: 221,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,908.32 : 431,863.20 = 147,590.40 : x
  2. Step 2: Convert to fraction form
    287,908.32/431,863.20 = 147,590.40/x
  3. Step 3: Cross multiply
    287,908.32x = 431,863.20 × 147,590.40
  4. Step 4: Simplify right side
    287,908.32x = 63,738,862,433.28
  5. Step 5: Solve for x
    x = 63,738,862,433.28/287,908.32
  6. Step 6: Final answer
    x = 221,385.97

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1.5x scale

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.