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Finding the Fourth Proportional to 501,006.62, 691,463.00 and 317,261.96

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Solution

The fourth proportional to 501,006.62, 691,463.00 and 317,261.96 is: 437,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,006.62 : 691,463.00 = 317,261.96 : x
  2. Step 2: Convert to fraction form
    501,006.62/691,463.00 = 317,261.96/x
  3. Step 3: Cross multiply
    501,006.62x = 691,463.00 × 317,261.96
  4. Step 4: Simplify right side
    501,006.62x = 219,374,901,603.86
  5. Step 5: Solve for x
    x = 219,374,901,603.86/501,006.62
  6. Step 6: Final answer
    x = 437,868.27

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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.