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Finding the Fourth Proportional to 289,902.88, 434,895.34 and 90,243.45

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Solution

The fourth proportional to 289,902.88, 434,895.34 and 90,243.45 is: 135,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,902.88 : 434,895.34 = 90,243.45 : x
  2. Step 2: Convert to fraction form
    289,902.88/434,895.34 = 90,243.45/x
  3. Step 3: Cross multiply
    289,902.88x = 434,895.34 × 90,243.45
  4. Step 4: Simplify right side
    289,902.88x = 39,246,455,870.52
  5. Step 5: Solve for x
    x = 39,246,455,870.52/289,902.88
  6. Step 6: Final answer
    x = 135,377.94

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1.5x scale

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.