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Finding the Fourth Proportional to 289,868.47, 434,832.50 and 100,328.53

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Solution

The fourth proportional to 289,868.47, 434,832.50 and 100,328.53 is: 150,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,868.47 : 434,832.50 = 100,328.53 : x
  2. Step 2: Convert to fraction form
    289,868.47/434,832.50 = 100,328.53/x
  3. Step 3: Cross multiply
    289,868.47x = 434,832.50 × 100,328.53
  4. Step 4: Simplify right side
    289,868.47x = 43,626,105,521.23
  5. Step 5: Solve for x
    x = 43,626,105,521.23/289,868.47
  6. Step 6: Final answer
    x = 150,503.11

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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.