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Finding the Fourth Proportional to 735,640.76, 1,015,278.64 and 413,351.48

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Solution

The fourth proportional to 735,640.76, 1,015,278.64 and 413,351.48 is: 570,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,640.76 : 1,015,278.64 = 413,351.48 : x
  2. Step 2: Convert to fraction form
    735,640.76/1,015,278.64 = 413,351.48/x
  3. Step 3: Cross multiply
    735,640.76x = 1,015,278.64 × 413,351.48
  4. Step 4: Simplify right side
    735,640.76x = 419,666,928,456.39
  5. Step 5: Solve for x
    x = 419,666,928,456.39/735,640.76
  6. Step 6: Final answer
    x = 570,478.08

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Double scale
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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.