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Finding the Fourth Proportional to 280,508.32, 420,885.80 and 147,357.64

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Solution

The fourth proportional to 280,508.32, 420,885.80 and 147,357.64 is: 221,101.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,508.32 : 420,885.80 = 147,357.64 : x
  2. Step 2: Convert to fraction form
    280,508.32/420,885.80 = 147,357.64/x
  3. Step 3: Cross multiply
    280,508.32x = 420,885.80 × 147,357.64
  4. Step 4: Simplify right side
    280,508.32x = 62,020,738,197.51
  5. Step 5: Solve for x
    x = 62,020,738,197.51/280,508.32
  6. Step 6: Final answer
    x = 221,101.24

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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.