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Finding the Fourth Proportional to 420,842.83, 580,763.10 and 229,856.67

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Solution

The fourth proportional to 420,842.83, 580,763.10 and 229,856.67 is: 317,202.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,842.83 : 580,763.10 = 229,856.67 : x
  2. Step 2: Convert to fraction form
    420,842.83/580,763.10 = 229,856.67/x
  3. Step 3: Cross multiply
    420,842.83x = 580,763.10 × 229,856.67
  4. Step 4: Simplify right side
    420,842.83x = 133,492,272,224.88
  5. Step 5: Solve for x
    x = 133,492,272,224.88/420,842.83
  6. Step 6: Final answer
    x = 317,202.20

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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.