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Finding the Fourth Proportional to 326,565.40, 450,726.57 and 188,750.20

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Solution

The fourth proportional to 326,565.40, 450,726.57 and 188,750.20 is: 260,513.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,565.40 : 450,726.57 = 188,750.20 : x
  2. Step 2: Convert to fraction form
    326,565.40/450,726.57 = 188,750.20/x
  3. Step 3: Cross multiply
    326,565.40x = 450,726.57 × 188,750.20
  4. Step 4: Simplify right side
    326,565.40x = 85,074,730,232.81
  5. Step 5: Solve for x
    x = 85,074,730,232.81/326,565.40
  6. Step 6: Final answer
    x = 260,513.61

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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.