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Finding the Fourth Proportional to 420,459.40, 580,235.58 and 229,477

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Solution

The fourth proportional to 420,459.40, 580,235.58 and 229,477 is: 316,679.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,459.40 : 580,235.58 = 229,477 : x
  2. Step 2: Convert to fraction form
    420,459.40/580,235.58 = 229,477/x
  3. Step 3: Cross multiply
    420,459.40x = 580,235.58 × 229,477
  4. Step 4: Simplify right side
    420,459.40x = 133,150,720,191.66
  5. Step 5: Solve for x
    x = 133,150,720,191.66/420,459.40
  6. Step 6: Final answer
    x = 316,679.14

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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.