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Finding the Fourth Proportional to 421,941.96, 633,149.66 and 418,737.40

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Solution

The fourth proportional to 421,941.96, 633,149.66 and 418,737.40 is: 628,341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,941.96 : 633,149.66 = 418,737.40 : x
  2. Step 2: Convert to fraction form
    421,941.96/633,149.66 = 418,737.40/x
  3. Step 3: Cross multiply
    421,941.96x = 633,149.66 × 418,737.40
  4. Step 4: Simplify right side
    421,941.96x = 265,123,441,903.25
  5. Step 5: Solve for x
    x = 265,123,441,903.25/421,941.96
  6. Step 6: Final answer
    x = 628,341.02

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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.