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Finding the Fourth Proportional to 257,218.65, 354,957.16 and 142,496.95

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Solution

The fourth proportional to 257,218.65, 354,957.16 and 142,496.95 is: 196,643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,218.65 : 354,957.16 = 142,496.95 : x
  2. Step 2: Convert to fraction form
    257,218.65/354,957.16 = 142,496.95/x
  3. Step 3: Cross multiply
    257,218.65x = 354,957.16 × 142,496.95
  4. Step 4: Simplify right side
    257,218.65x = 50,580,311,772.21
  5. Step 5: Solve for x
    x = 50,580,311,772.21/257,218.65
  6. Step 6: Final answer
    x = 196,643.25

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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.