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Finding the Fourth Proportional to 420,220.76, 579,903.92 and 229,234.14

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Solution

The fourth proportional to 420,220.76, 579,903.92 and 229,234.14 is: 316,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,220.76 : 579,903.92 = 229,234.14 : x
  2. Step 2: Convert to fraction form
    420,220.76/579,903.92 = 229,234.14/x
  3. Step 3: Cross multiply
    420,220.76x = 579,903.92 × 229,234.14
  4. Step 4: Simplify right side
    420,220.76x = 132,933,776,383.83
  5. Step 5: Solve for x
    x = 132,933,776,383.83/420,220.76
  6. Step 6: Final answer
    x = 316,342.72

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Double scale
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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.