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Finding the Fourth Proportional to 427,216.29, 640,888.15 and 157,323.66

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Solution

The fourth proportional to 427,216.29, 640,888.15 and 157,323.66 is: 236,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,216.29 : 640,888.15 = 157,323.66 : x
  2. Step 2: Convert to fraction form
    427,216.29/640,888.15 = 157,323.66/x
  3. Step 3: Cross multiply
    427,216.29x = 640,888.15 × 157,323.66
  4. Step 4: Simplify right side
    427,216.29x = 100,826,869,408.63
  5. Step 5: Solve for x
    x = 100,826,869,408.63/427,216.29
  6. Step 6: Final answer
    x = 236,008.95

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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.