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Finding the Fourth Proportional to 257,798.78, 386,698.20 and 80,320.10

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Solution

The fourth proportional to 257,798.78, 386,698.20 and 80,320.10 is: 120,480.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,798.78 : 386,698.20 = 80,320.10 : x
  2. Step 2: Convert to fraction form
    257,798.78/386,698.20 = 80,320.10/x
  3. Step 3: Cross multiply
    257,798.78x = 386,698.20 × 80,320.10
  4. Step 4: Simplify right side
    257,798.78x = 31,059,638,093.82
  5. Step 5: Solve for x
    x = 31,059,638,093.82/257,798.78
  6. Step 6: Final answer
    x = 120,480.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.