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Finding the Fourth Proportional to 392,725.35, 542,280.57 and 320,139.63

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Solution

The fourth proportional to 392,725.35, 542,280.57 and 320,139.63 is: 442,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,725.35 : 542,280.57 = 320,139.63 : x
  2. Step 2: Convert to fraction form
    392,725.35/542,280.57 = 320,139.63/x
  3. Step 3: Cross multiply
    392,725.35x = 542,280.57 × 320,139.63
  4. Step 4: Simplify right side
    392,725.35x = 173,605,501,035.99
  5. Step 5: Solve for x
    x = 173,605,501,035.99/392,725.35
  6. Step 6: Final answer
    x = 442,053.21

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1.5x scale

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.