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Finding the Fourth Proportional to 710,105.57, 979,969.87 and 419,965.85

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Solution

The fourth proportional to 710,105.57, 979,969.87 and 419,965.85 is: 579,567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,105.57 : 979,969.87 = 419,965.85 : x
  2. Step 2: Convert to fraction form
    710,105.57/979,969.87 = 419,965.85/x
  3. Step 3: Cross multiply
    710,105.57x = 979,969.87 × 419,965.85
  4. Step 4: Simplify right side
    710,105.57x = 411,553,874,529.18
  5. Step 5: Solve for x
    x = 411,553,874,529.18/710,105.57
  6. Step 6: Final answer
    x = 579,567.17

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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.