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Finding the Fourth Proportional to 652,208.10, 978,312.15 and 278,960.10

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Solution

The fourth proportional to 652,208.10, 978,312.15 and 278,960.10 is: 418,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,208.10 : 978,312.15 = 278,960.10 : x
  2. Step 2: Convert to fraction form
    652,208.10/978,312.15 = 278,960.10/x
  3. Step 3: Cross multiply
    652,208.10x = 978,312.15 × 278,960.10
  4. Step 4: Simplify right side
    652,208.10x = 272,910,055,195.22
  5. Step 5: Solve for x
    x = 272,910,055,195.22/652,208.10
  6. Step 6: Final answer
    x = 418,440.15

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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.