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Finding the Fourth Proportional to 257,808.24, 355,818.12 and 150,378.29

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Solution

The fourth proportional to 257,808.24, 355,818.12 and 150,378.29 is: 207,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,808.24 : 355,818.12 = 150,378.29 : x
  2. Step 2: Convert to fraction form
    257,808.24/355,818.12 = 150,378.29/x
  3. Step 3: Cross multiply
    257,808.24x = 355,818.12 × 150,378.29
  4. Step 4: Simplify right side
    257,808.24x = 53,507,321,326.16
  5. Step 5: Solve for x
    x = 53,507,321,326.16/257,808.24
  6. Step 6: Final answer
    x = 207,546.98

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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.