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Finding the Fourth Proportional to 501,408.42, 691,952.99 and 307,719.04

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Solution

The fourth proportional to 501,408.42, 691,952.99 and 307,719.04 is: 424,658.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,408.42 : 691,952.99 = 307,719.04 : x
  2. Step 2: Convert to fraction form
    501,408.42/691,952.99 = 307,719.04/x
  3. Step 3: Cross multiply
    501,408.42x = 691,952.99 × 307,719.04
  4. Step 4: Simplify right side
    501,408.42x = 212,927,109,807.93
  5. Step 5: Solve for x
    x = 212,927,109,807.93/501,408.42
  6. Step 6: Final answer
    x = 424,658.03

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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.