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Finding the Fourth Proportional to 432,787.40, 648,014.70 and 313,814.60

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Solution

The fourth proportional to 432,787.40, 648,014.70 and 313,814.60 is: 469,876.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,787.40 : 648,014.70 = 313,814.60 : x
  2. Step 2: Convert to fraction form
    432,787.40/648,014.70 = 313,814.60/x
  3. Step 3: Cross multiply
    432,787.40x = 648,014.70 × 313,814.60
  4. Step 4: Simplify right side
    432,787.40x = 203,356,473,874.62
  5. Step 5: Solve for x
    x = 203,356,473,874.62/432,787.40
  6. Step 6: Final answer
    x = 469,876.14

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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.