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Finding the Fourth Proportional to 257,048.12, 354,726.33 and 143,870.87

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Solution

The fourth proportional to 257,048.12, 354,726.33 and 143,870.87 is: 198,541.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,048.12 : 354,726.33 = 143,870.87 : x
  2. Step 2: Convert to fraction form
    257,048.12/354,726.33 = 143,870.87/x
  3. Step 3: Cross multiply
    257,048.12x = 354,726.33 × 143,870.87
  4. Step 4: Simplify right side
    257,048.12x = 51,034,785,709.01
  5. Step 5: Solve for x
    x = 51,034,785,709.01/257,048.12
  6. Step 6: Final answer
    x = 198,541.76

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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.