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Finding the Fourth Proportional to 432,931.84, 649,408.88 and 205,174

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Solution

The fourth proportional to 432,931.84, 649,408.88 and 205,174 is: 307,766.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,931.84 : 649,408.88 = 205,174 : x
  2. Step 2: Convert to fraction form
    432,931.84/649,408.88 = 205,174/x
  3. Step 3: Cross multiply
    432,931.84x = 649,408.88 × 205,174
  4. Step 4: Simplify right side
    432,931.84x = 133,241,817,545.12
  5. Step 5: Solve for x
    x = 133,241,817,545.12/432,931.84
  6. Step 6: Final answer
    x = 307,766.27

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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.