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Finding the Fourth Proportional to 282,505.40, 423,758.09 and 105,057.08

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Solution

The fourth proportional to 282,505.40, 423,758.09 and 105,057.08 is: 157,585.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,505.40 : 423,758.09 = 105,057.08 : x
  2. Step 2: Convert to fraction form
    282,505.40/423,758.09 = 105,057.08/x
  3. Step 3: Cross multiply
    282,505.40x = 423,758.09 × 105,057.08
  4. Step 4: Simplify right side
    282,505.40x = 44,518,787,561.78
  5. Step 5: Solve for x
    x = 44,518,787,561.78/282,505.40
  6. Step 6: Final answer
    x = 157,585.62

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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.