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Finding the Fourth Proportional to 420,101.46, 579,732.96 and 229,103.46

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Solution

The fourth proportional to 420,101.46, 579,732.96 and 229,103.46 is: 316,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,101.46 : 579,732.96 = 229,103.46 : x
  2. Step 2: Convert to fraction form
    420,101.46/579,732.96 = 229,103.46/x
  3. Step 3: Cross multiply
    420,101.46x = 579,732.96 × 229,103.46
  4. Step 4: Simplify right side
    420,101.46x = 132,818,827,012.04
  5. Step 5: Solve for x
    x = 132,818,827,012.04/420,101.46
  6. Step 6: Final answer
    x = 316,158.93

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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.