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Finding the Fourth Proportional to 559,007.87, 771,414 and 310,648.97

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Solution

The fourth proportional to 559,007.87, 771,414 and 310,648.97 is: 428,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,007.87 : 771,414 = 310,648.97 : x
  2. Step 2: Convert to fraction form
    559,007.87/771,414 = 310,648.97/x
  3. Step 3: Cross multiply
    559,007.87x = 771,414 × 310,648.97
  4. Step 4: Simplify right side
    559,007.87x = 239,638,964,543.58
  5. Step 5: Solve for x
    x = 239,638,964,543.58/559,007.87
  6. Step 6: Final answer
    x = 428,686.21

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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.