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Finding the Fourth Proportional to 569,320.52, 785,648.61 and 311,185.85

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Solution

The fourth proportional to 569,320.52, 785,648.61 and 311,185.85 is: 429,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,320.52 : 785,648.61 = 311,185.85 : x
  2. Step 2: Convert to fraction form
    569,320.52/785,648.61 = 311,185.85/x
  3. Step 3: Cross multiply
    569,320.52x = 785,648.61 × 311,185.85
  4. Step 4: Simplify right side
    569,320.52x = 244,482,726,575.93
  5. Step 5: Solve for x
    x = 244,482,726,575.93/569,320.52
  6. Step 6: Final answer
    x = 429,428.98

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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.