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Finding the Fourth Proportional to 257,036.76, 354,721.80 and 142,315.39

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Solution

The fourth proportional to 257,036.76, 354,721.80 and 142,315.39 is: 196,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.76 : 354,721.80 = 142,315.39 : x
  2. Step 2: Convert to fraction form
    257,036.76/354,721.80 = 142,315.39/x
  3. Step 3: Cross multiply
    257,036.76x = 354,721.80 × 142,315.39
  4. Step 4: Simplify right side
    257,036.76x = 50,482,372,285.59
  5. Step 5: Solve for x
    x = 50,482,372,285.59/257,036.76
  6. Step 6: Final answer
    x = 196,401.37

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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.