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Finding the Fourth Proportional to 559,006.87, 771,412.62 and 310,647.97

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Solution

The fourth proportional to 559,006.87, 771,412.62 and 310,647.97 is: 428,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,006.87 : 771,412.62 = 310,647.97 : x
  2. Step 2: Convert to fraction form
    559,006.87/771,412.62 = 310,647.97/x
  3. Step 3: Cross multiply
    559,006.87x = 771,412.62 × 310,647.97
  4. Step 4: Simplify right side
    559,006.87x = 239,637,760,578.32
  5. Step 5: Solve for x
    x = 239,637,760,578.32/559,006.87
  6. Step 6: Final answer
    x = 428,684.83

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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.