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Finding the Fourth Proportional to 649,835.84, 974,396.90 and 200,432

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Solution

The fourth proportional to 649,835.84, 974,396.90 and 200,432 is: 300,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,835.84 : 974,396.90 = 200,432 : x
  2. Step 2: Convert to fraction form
    649,835.84/974,396.90 = 200,432/x
  3. Step 3: Cross multiply
    649,835.84x = 974,396.90 × 200,432
  4. Step 4: Simplify right side
    649,835.84x = 195,300,319,460.80
  5. Step 5: Solve for x
    x = 195,300,319,460.80/649,835.84
  6. Step 6: Final answer
    x = 300,537.93

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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.