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Finding the Fourth Proportional to 313,012.53, 469,537.81 and 88,389.90

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Solution

The fourth proportional to 313,012.53, 469,537.81 and 88,389.90 is: 132,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,012.53 : 469,537.81 = 88,389.90 : x
  2. Step 2: Convert to fraction form
    313,012.53/469,537.81 = 88,389.90/x
  3. Step 3: Cross multiply
    313,012.53x = 469,537.81 × 88,389.90
  4. Step 4: Simplify right side
    313,012.53x = 41,502,399,851.14
  5. Step 5: Solve for x
    x = 41,502,399,851.14/313,012.53
  6. Step 6: Final answer
    x = 132,590.22

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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.