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Finding the Fourth Proportional to 420,497.24, 580,586.56 and 259,570.76

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Solution

The fourth proportional to 420,497.24, 580,586.56 and 259,570.76 is: 358,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,497.24 : 580,586.56 = 259,570.76 : x
  2. Step 2: Convert to fraction form
    420,497.24/580,586.56 = 259,570.76/x
  3. Step 3: Cross multiply
    420,497.24x = 580,586.56 × 259,570.76
  4. Step 4: Simplify right side
    420,497.24x = 150,703,294,624.99
  5. Step 5: Solve for x
    x = 150,703,294,624.99/420,497.24
  6. Step 6: Final answer
    x = 358,393.06

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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.