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Finding the Fourth Proportional to 289,418.40, 434,127.60 and 260,848.80

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Solution

The fourth proportional to 289,418.40, 434,127.60 and 260,848.80 is: 391,273.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,418.40 : 434,127.60 = 260,848.80 : x
  2. Step 2: Convert to fraction form
    289,418.40/434,127.60 = 260,848.80/x
  3. Step 3: Cross multiply
    289,418.40x = 434,127.60 × 260,848.80
  4. Step 4: Simplify right side
    289,418.40x = 113,241,663,506.88
  5. Step 5: Solve for x
    x = 113,241,663,506.88/289,418.40
  6. Step 6: Final answer
    x = 391,273.20

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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.