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Finding the Fourth Proportional to 432,955.95, 649,158.83 and 379,754.75

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Solution

The fourth proportional to 432,955.95, 649,158.83 and 379,754.75 is: 569,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,955.95 : 649,158.83 = 379,754.75 : x
  2. Step 2: Convert to fraction form
    432,955.95/649,158.83 = 379,754.75/x
  3. Step 3: Cross multiply
    432,955.95x = 649,158.83 × 379,754.75
  4. Step 4: Simplify right side
    432,955.95x = 246,521,144,052.38
  5. Step 5: Solve for x
    x = 246,521,144,052.38/432,955.95
  6. Step 6: Final answer
    x = 569,390.82

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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.