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Finding the Fourth Proportional to 501,408.92, 691,953.69 and 307,719.54

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Solution

The fourth proportional to 501,408.92, 691,953.69 and 307,719.54 is: 424,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,408.92 : 691,953.69 = 307,719.54 : x
  2. Step 2: Convert to fraction form
    501,408.92/691,953.69 = 307,719.54/x
  3. Step 3: Cross multiply
    501,408.92x = 691,953.69 × 307,719.54
  4. Step 4: Simplify right side
    501,408.92x = 212,927,671,188.10
  5. Step 5: Solve for x
    x = 212,927,671,188.10/501,408.92
  6. Step 6: Final answer
    x = 424,658.73

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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.