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Finding the Fourth Proportional to 420,999.84, 580,958.64 and 229,978.08

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Solution

The fourth proportional to 420,999.84, 580,958.64 and 229,978.08 is: 317,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,999.84 : 580,958.64 = 229,978.08 : x
  2. Step 2: Convert to fraction form
    420,999.84/580,958.64 = 229,978.08/x
  3. Step 3: Cross multiply
    420,999.84x = 580,958.64 × 229,978.08
  4. Step 4: Simplify right side
    420,999.84x = 133,607,752,586.61
  5. Step 5: Solve for x
    x = 133,607,752,586.61/420,999.84
  6. Step 6: Final answer
    x = 317,358.20

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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.