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Finding the Fourth Proportional to 257,036.52, 354,721.48 and 142,315.16

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Solution

The fourth proportional to 257,036.52, 354,721.48 and 142,315.16 is: 196,401.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,036.52 : 354,721.48 = 142,315.16 : x
  2. Step 2: Convert to fraction form
    257,036.52/354,721.48 = 142,315.16/x
  3. Step 3: Cross multiply
    257,036.52x = 354,721.48 × 142,315.16
  4. Step 4: Simplify right side
    257,036.52x = 50,482,244,181.64
  5. Step 5: Solve for x
    x = 50,482,244,181.64/257,036.52
  6. Step 6: Final answer
    x = 196,401.06

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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.