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Finding the Fourth Proportional to 313,172.93, 469,721.13 and 133,330.91

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Solution

The fourth proportional to 313,172.93, 469,721.13 and 133,330.91 is: 199,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,172.93 : 469,721.13 = 133,330.91 : x
  2. Step 2: Convert to fraction form
    313,172.93/469,721.13 = 133,330.91/x
  3. Step 3: Cross multiply
    313,172.93x = 469,721.13 × 133,330.91
  4. Step 4: Simplify right side
    313,172.93x = 62,628,345,502.71
  5. Step 5: Solve for x
    x = 62,628,345,502.71/313,172.93
  6. Step 6: Final answer
    x = 199,980.07

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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.