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Finding the Fourth Proportional to 569,178.09, 785,434.86 and 314,512.88

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Solution

The fourth proportional to 569,178.09, 785,434.86 and 314,512.88 is: 434,010.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,178.09 : 785,434.86 = 314,512.88 : x
  2. Step 2: Convert to fraction form
    569,178.09/785,434.86 = 314,512.88/x
  3. Step 3: Cross multiply
    569,178.09x = 785,434.86 × 314,512.88
  4. Step 4: Simplify right side
    569,178.09x = 247,029,375,943.82
  5. Step 5: Solve for x
    x = 247,029,375,943.82/569,178.09
  6. Step 6: Final answer
    x = 434,010.69

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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.