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Finding the Fourth Proportional to 432,991.60, 647,737.80 and 374,477.20

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Solution

The fourth proportional to 432,991.60, 647,737.80 and 374,477.20 is: 560,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,991.60 : 647,737.80 = 374,477.20 : x
  2. Step 2: Convert to fraction form
    432,991.60/647,737.80 = 374,477.20/x
  3. Step 3: Cross multiply
    432,991.60x = 647,737.80 × 374,477.20
  4. Step 4: Simplify right side
    432,991.60x = 242,563,037,678.16
  5. Step 5: Solve for x
    x = 242,563,037,678.16/432,991.60
  6. Step 6: Final answer
    x = 560,202.64

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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.