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Finding the Fourth Proportional to 517,391.40, 713,997.48 and 291,038.52

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Solution

The fourth proportional to 517,391.40, 713,997.48 and 291,038.52 is: 401,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,391.40 : 713,997.48 = 291,038.52 : x
  2. Step 2: Convert to fraction form
    517,391.40/713,997.48 = 291,038.52/x
  3. Step 3: Cross multiply
    517,391.40x = 713,997.48 × 291,038.52
  4. Step 4: Simplify right side
    517,391.40x = 207,800,769,862.93
  5. Step 5: Solve for x
    x = 207,800,769,862.93/517,391.40
  6. Step 6: Final answer
    x = 401,631.67

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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.