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Finding the Fourth Proportional to 317,422.32, 438,041.60 and 174,184.78

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Solution

The fourth proportional to 317,422.32, 438,041.60 and 174,184.78 is: 240,374.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,422.32 : 438,041.60 = 174,184.78 : x
  2. Step 2: Convert to fraction form
    317,422.32/438,041.60 = 174,184.78/x
  3. Step 3: Cross multiply
    317,422.32x = 438,041.60 × 174,184.78
  4. Step 4: Simplify right side
    317,422.32x = 76,300,179,726.85
  5. Step 5: Solve for x
    x = 76,300,179,726.85/317,422.32
  6. Step 6: Final answer
    x = 240,374.34

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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.