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Finding the Fourth Proportional to 289,920.90, 434,881.35 and 171,531.30

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Solution

The fourth proportional to 289,920.90, 434,881.35 and 171,531.30 is: 257,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,920.90 : 434,881.35 = 171,531.30 : x
  2. Step 2: Convert to fraction form
    289,920.90/434,881.35 = 171,531.30/x
  3. Step 3: Cross multiply
    289,920.90x = 434,881.35 × 171,531.30
  4. Step 4: Simplify right side
    289,920.90x = 74,595,763,311.26
  5. Step 5: Solve for x
    x = 74,595,763,311.26/289,920.90
  6. Step 6: Final answer
    x = 257,296.95

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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.