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Finding the Fourth Proportional to 524,502.72, 786,176.87 and 299,371.73

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Solution

The fourth proportional to 524,502.72, 786,176.87 and 299,371.73 is: 448,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,502.72 : 786,176.87 = 299,371.73 : x
  2. Step 2: Convert to fraction form
    524,502.72/786,176.87 = 299,371.73/x
  3. Step 3: Cross multiply
    524,502.72x = 786,176.87 × 299,371.73
  4. Step 4: Simplify right side
    524,502.72x = 235,359,124,230.14
  5. Step 5: Solve for x
    x = 235,359,124,230.14/524,502.72
  6. Step 6: Final answer
    x = 448,728.13

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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.