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Finding the Fourth Proportional to 257,191.25, 354,937.28 and 142,482.51

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Solution

The fourth proportional to 257,191.25, 354,937.28 and 142,482.51 is: 196,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.25 : 354,937.28 = 142,482.51 : x
  2. Step 2: Convert to fraction form
    257,191.25/354,937.28 = 142,482.51/x
  3. Step 3: Cross multiply
    257,191.25x = 354,937.28 × 142,482.51
  4. Step 4: Simplify right side
    257,191.25x = 50,572,353,834.56
  5. Step 5: Solve for x
    x = 50,572,353,834.56/257,191.25
  6. Step 6: Final answer
    x = 196,633.26

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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.