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Finding the Fourth Proportional to 289,249, 433,881.18 and 92,257

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Solution

The fourth proportional to 289,249, 433,881.18 and 92,257 is: 138,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,249 : 433,881.18 = 92,257 : x
  2. Step 2: Convert to fraction form
    289,249/433,881.18 = 92,257/x
  3. Step 3: Cross multiply
    289,249x = 433,881.18 × 92,257
  4. Step 4: Simplify right side
    289,249x = 40,028,576,023.26
  5. Step 5: Solve for x
    x = 40,028,576,023.26/289,249
  6. Step 6: Final answer
    x = 138,387.95

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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.