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Finding the Fourth Proportional to 461,292.75, 692,055.78 and 128,868.75

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Solution

The fourth proportional to 461,292.75, 692,055.78 and 128,868.75 is: 193,335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,292.75 : 692,055.78 = 128,868.75 : x
  2. Step 2: Convert to fraction form
    461,292.75/692,055.78 = 128,868.75/x
  3. Step 3: Cross multiply
    461,292.75x = 692,055.78 × 128,868.75
  4. Step 4: Simplify right side
    461,292.75x = 89,184,363,298.88
  5. Step 5: Solve for x
    x = 89,184,363,298.88/461,292.75
  6. Step 6: Final answer
    x = 193,335.71

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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.