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Finding the Fourth Proportional to 498,783.30, 747,737.55 and 299,183.10

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Solution

The fourth proportional to 498,783.30, 747,737.55 and 299,183.10 is: 448,512.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,783.30 : 747,737.55 = 299,183.10 : x
  2. Step 2: Convert to fraction form
    498,783.30/747,737.55 = 299,183.10/x
  3. Step 3: Cross multiply
    498,783.30x = 747,737.55 × 299,183.10
  4. Step 4: Simplify right side
    498,783.30x = 223,710,438,195.41
  5. Step 5: Solve for x
    x = 223,710,438,195.41/498,783.30
  6. Step 6: Final answer
    x = 448,512.29

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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.