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Finding the Fourth Proportional to 611,357, 843,750.42 and 343,085

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Solution

The fourth proportional to 611,357, 843,750.42 and 343,085 is: 473,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,357 : 843,750.42 = 343,085 : x
  2. Step 2: Convert to fraction form
    611,357/843,750.42 = 343,085/x
  3. Step 3: Cross multiply
    611,357x = 843,750.42 × 343,085
  4. Step 4: Simplify right side
    611,357x = 289,478,112,845.70
  5. Step 5: Solve for x
    x = 289,478,112,845.70/611,357
  6. Step 6: Final answer
    x = 473,500.94

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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.