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Finding the Fourth Proportional to 380,066.78, 524,456.45 and 257,309.45

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Solution

The fourth proportional to 380,066.78, 524,456.45 and 257,309.45 is: 355,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,066.78 : 524,456.45 = 257,309.45 : x
  2. Step 2: Convert to fraction form
    380,066.78/524,456.45 = 257,309.45/x
  3. Step 3: Cross multiply
    380,066.78x = 524,456.45 × 257,309.45
  4. Step 4: Simplify right side
    380,066.78x = 134,947,598,260.05
  5. Step 5: Solve for x
    x = 134,947,598,260.05/380,066.78
  6. Step 6: Final answer
    x = 355,062.86

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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.