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Finding the Fourth Proportional to 428,503.19, 642,880.53 and 191,793.24

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Solution

The fourth proportional to 428,503.19, 642,880.53 and 191,793.24 is: 287,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,503.19 : 642,880.53 = 191,793.24 : x
  2. Step 2: Convert to fraction form
    428,503.19/642,880.53 = 191,793.24/x
  3. Step 3: Cross multiply
    428,503.19x = 642,880.53 × 191,793.24
  4. Step 4: Simplify right side
    428,503.19x = 123,300,139,781.62
  5. Step 5: Solve for x
    x = 123,300,139,781.62/428,503.19
  6. Step 6: Final answer
    x = 287,746.15

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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.