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Finding the Fourth Proportional to 778,832, 1,074,904.80 and 477,200.96

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Solution

The fourth proportional to 778,832, 1,074,904.80 and 477,200.96 is: 658,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,832 : 1,074,904.80 = 477,200.96 : x
  2. Step 2: Convert to fraction form
    778,832/1,074,904.80 = 477,200.96/x
  3. Step 3: Cross multiply
    778,832x = 1,074,904.80 × 477,200.96
  4. Step 4: Simplify right side
    778,832x = 512,945,602,468.61
  5. Step 5: Solve for x
    x = 512,945,602,468.61/778,832
  6. Step 6: Final answer
    x = 658,608.79

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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.