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Finding the Fourth Proportional to 652,022.80, 978,034.20 and 178,707.40

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Solution

The fourth proportional to 652,022.80, 978,034.20 and 178,707.40 is: 268,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,022.80 : 978,034.20 = 178,707.40 : x
  2. Step 2: Convert to fraction form
    652,022.80/978,034.20 = 178,707.40/x
  3. Step 3: Cross multiply
    652,022.80x = 978,034.20 × 178,707.40
  4. Step 4: Simplify right side
    652,022.80x = 174,781,948,993.08
  5. Step 5: Solve for x
    x = 174,781,948,993.08/652,022.80
  6. Step 6: Final answer
    x = 268,061.10

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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.