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Finding the Fourth Proportional to 435,670.20, 653,246.10 and 225,718.20

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Solution

The fourth proportional to 435,670.20, 653,246.10 and 225,718.20 is: 338,443.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,670.20 : 653,246.10 = 225,718.20 : x
  2. Step 2: Convert to fraction form
    435,670.20/653,246.10 = 225,718.20/x
  3. Step 3: Cross multiply
    435,670.20x = 653,246.10 × 225,718.20
  4. Step 4: Simplify right side
    435,670.20x = 147,449,533,849.02
  5. Step 5: Solve for x
    x = 147,449,533,849.02/435,670.20
  6. Step 6: Final answer
    x = 338,443.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.