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Finding the Fourth Proportional to 291,830.88, 437,765.76 and 92,159.40

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Solution

The fourth proportional to 291,830.88, 437,765.76 and 92,159.40 is: 138,245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,830.88 : 437,765.76 = 92,159.40 : x
  2. Step 2: Convert to fraction form
    291,830.88/437,765.76 = 92,159.40/x
  3. Step 3: Cross multiply
    291,830.88x = 437,765.76 × 92,159.40
  4. Step 4: Simplify right side
    291,830.88x = 40,344,229,782.14
  5. Step 5: Solve for x
    x = 40,344,229,782.14/291,830.88
  6. Step 6: Final answer
    x = 138,245.24

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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.