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Finding the Fourth Proportional to 614,750, 848,380.92 and 346,478

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Solution

The fourth proportional to 614,750, 848,380.92 and 346,478 is: 478,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,750 : 848,380.92 = 346,478 : x
  2. Step 2: Convert to fraction form
    614,750/848,380.92 = 346,478/x
  3. Step 3: Cross multiply
    614,750x = 848,380.92 × 346,478
  4. Step 4: Simplify right side
    614,750x = 293,945,324,399.76
  5. Step 5: Solve for x
    x = 293,945,324,399.76/614,750
  6. Step 6: Final answer
    x = 478,154.25

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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.