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Finding the Fourth Proportional to 329,037.57, 492,807.30 and 257,514.16

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Solution

The fourth proportional to 329,037.57, 492,807.30 and 257,514.16 is: 385,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,037.57 : 492,807.30 = 257,514.16 : x
  2. Step 2: Convert to fraction form
    329,037.57/492,807.30 = 257,514.16/x
  3. Step 3: Cross multiply
    329,037.57x = 492,807.30 × 257,514.16
  4. Step 4: Simplify right side
    329,037.57x = 126,904,857,901.37
  5. Step 5: Solve for x
    x = 126,904,857,901.37/329,037.57
  6. Step 6: Final answer
    x = 385,685.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.