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Finding the Fourth Proportional to 472,680.52, 652,301.15 and 257,825.20

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Solution

The fourth proportional to 472,680.52, 652,301.15 and 257,825.20 is: 355,799.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,680.52 : 652,301.15 = 257,825.20 : x
  2. Step 2: Convert to fraction form
    472,680.52/652,301.15 = 257,825.20/x
  3. Step 3: Cross multiply
    472,680.52x = 652,301.15 × 257,825.20
  4. Step 4: Simplify right side
    472,680.52x = 168,179,674,458.98
  5. Step 5: Solve for x
    x = 168,179,674,458.98/472,680.52
  6. Step 6: Final answer
    x = 355,799.88

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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.