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Finding the Fourth Proportional to 1,023,687.78, 1,412,694.03 and 564,802.32

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Solution

The fourth proportional to 1,023,687.78, 1,412,694.03 and 564,802.32 is: 779,429.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,687.78 : 1,412,694.03 = 564,802.32 : x
  2. Step 2: Convert to fraction form
    1,023,687.78/1,412,694.03 = 564,802.32/x
  3. Step 3: Cross multiply
    1,023,687.78x = 1,412,694.03 × 564,802.32
  4. Step 4: Simplify right side
    1,023,687.78x = 797,892,865,594.15
  5. Step 5: Solve for x
    x = 797,892,865,594.15/1,023,687.78
  6. Step 6: Final answer
    x = 779,429.90

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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.