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Finding the Fourth Proportional to 874,846, 1,207,287.48 and 472,438

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Solution

The fourth proportional to 874,846, 1,207,287.48 and 472,438 is: 651,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,846 : 1,207,287.48 = 472,438 : x
  2. Step 2: Convert to fraction form
    874,846/1,207,287.48 = 472,438/x
  3. Step 3: Cross multiply
    874,846x = 1,207,287.48 × 472,438
  4. Step 4: Simplify right side
    874,846x = 570,368,482,476.24
  5. Step 5: Solve for x
    x = 570,368,482,476.24/874,846
  6. Step 6: Final answer
    x = 651,964.44

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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.