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Finding the Fourth Proportional to 420,307.92, 580,024.08 and 229,321.20

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Solution

The fourth proportional to 420,307.92, 580,024.08 and 229,321.20 is: 316,462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,307.92 : 580,024.08 = 229,321.20 : x
  2. Step 2: Convert to fraction form
    420,307.92/580,024.08 = 229,321.20/x
  3. Step 3: Cross multiply
    420,307.92x = 580,024.08 × 229,321.20
  4. Step 4: Simplify right side
    420,307.92x = 133,011,818,054.50
  5. Step 5: Solve for x
    x = 133,011,818,054.50/420,307.92
  6. Step 6: Final answer
    x = 316,462.79

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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.