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Finding the Fourth Proportional to 292,658.40, 438,724.80 and 115,286.40

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Solution

The fourth proportional to 292,658.40, 438,724.80 and 115,286.40 is: 172,826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,658.40 : 438,724.80 = 115,286.40 : x
  2. Step 2: Convert to fraction form
    292,658.40/438,724.80 = 115,286.40/x
  3. Step 3: Cross multiply
    292,658.40x = 438,724.80 × 115,286.40
  4. Step 4: Simplify right side
    292,658.40x = 50,579,002,782.72
  5. Step 5: Solve for x
    x = 50,579,002,782.72/292,658.40
  6. Step 6: Final answer
    x = 172,826.08

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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.