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Finding the Fourth Proportional to 416,715.30, 575,065.08 and 225,729

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Solution

The fourth proportional to 416,715.30, 575,065.08 and 225,729 is: 311,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,715.30 : 575,065.08 = 225,729 : x
  2. Step 2: Convert to fraction form
    416,715.30/575,065.08 = 225,729/x
  3. Step 3: Cross multiply
    416,715.30x = 575,065.08 × 225,729
  4. Step 4: Simplify right side
    416,715.30x = 129,808,865,443.32
  5. Step 5: Solve for x
    x = 129,808,865,443.32/416,715.30
  6. Step 6: Final answer
    x = 311,504.92

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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.