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Finding the Fourth Proportional to 266,042.24, 396,970.24 and 257,022.08

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Solution

The fourth proportional to 266,042.24, 396,970.24 and 257,022.08 is: 383,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,042.24 : 396,970.24 = 257,022.08 : x
  2. Step 2: Convert to fraction form
    266,042.24/396,970.24 = 257,022.08/x
  3. Step 3: Cross multiply
    266,042.24x = 396,970.24 × 257,022.08
  4. Step 4: Simplify right side
    266,042.24x = 102,030,116,782.90
  5. Step 5: Solve for x
    x = 102,030,116,782.90/266,042.24
  6. Step 6: Final answer
    x = 383,510.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.