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Finding the Fourth Proportional to 257,219.61, 354,959.23 and 142,498.01

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Solution

The fourth proportional to 257,219.61, 354,959.23 and 142,498.01 is: 196,645.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,219.61 : 354,959.23 = 142,498.01 : x
  2. Step 2: Convert to fraction form
    257,219.61/354,959.23 = 142,498.01/x
  3. Step 3: Cross multiply
    257,219.61x = 354,959.23 × 142,498.01
  4. Step 4: Simplify right side
    257,219.61x = 50,580,983,906.13
  5. Step 5: Solve for x
    x = 50,580,983,906.13/257,219.61
  6. Step 6: Final answer
    x = 196,645.13

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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.