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Finding the Fourth Proportional to 377,012.02, 519,741.21 and 299,854.66

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Solution

The fourth proportional to 377,012.02, 519,741.21 and 299,854.66 is: 413,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,012.02 : 519,741.21 = 299,854.66 : x
  2. Step 2: Convert to fraction form
    377,012.02/519,741.21 = 299,854.66/x
  3. Step 3: Cross multiply
    377,012.02x = 519,741.21 × 299,854.66
  4. Step 4: Simplify right side
    377,012.02x = 155,846,823,812.54
  5. Step 5: Solve for x
    x = 155,846,823,812.54/377,012.02
  6. Step 6: Final answer
    x = 413,373.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.