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Finding the Fourth Proportional to 280,471.32, 420,830.28 and 147,320.64

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Solution

The fourth proportional to 280,471.32, 420,830.28 and 147,320.64 is: 221,045.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,471.32 : 420,830.28 = 147,320.64 : x
  2. Step 2: Convert to fraction form
    280,471.32/420,830.28 = 147,320.64/x
  3. Step 3: Cross multiply
    280,471.32x = 420,830.28 × 147,320.64
  4. Step 4: Simplify right side
    280,471.32x = 61,996,986,180.98
  5. Step 5: Solve for x
    x = 61,996,986,180.98/280,471.32
  6. Step 6: Final answer
    x = 221,045.72

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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.