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Finding the Fourth Proportional to 313,089.98, 469,521.71 and 133,187.36

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Solution

The fourth proportional to 313,089.98, 469,521.71 and 133,187.36 is: 199,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,089.98 : 469,521.71 = 133,187.36 : x
  2. Step 2: Convert to fraction form
    313,089.98/469,521.71 = 133,187.36/x
  3. Step 3: Cross multiply
    313,089.98x = 469,521.71 × 133,187.36
  4. Step 4: Simplify right side
    313,089.98x = 62,534,355,252.67
  5. Step 5: Solve for x
    x = 62,534,355,252.67/313,089.98
  6. Step 6: Final answer
    x = 199,732.86

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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.