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Finding the Fourth Proportional to 569,456.80, 785,810.91 and 314,787.94

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Solution

The fourth proportional to 569,456.80, 785,810.91 and 314,787.94 is: 434,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,456.80 : 785,810.91 = 314,787.94 : x
  2. Step 2: Convert to fraction form
    569,456.80/785,810.91 = 314,787.94/x
  3. Step 3: Cross multiply
    569,456.80x = 785,810.91 × 314,787.94
  4. Step 4: Simplify right side
    569,456.80x = 247,363,797,588.43
  5. Step 5: Solve for x
    x = 247,363,797,588.43/569,456.80
  6. Step 6: Final answer
    x = 434,385.54

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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.