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Finding the Fourth Proportional to 312,987.33, 469,529.87 and 99,803.03

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Solution

The fourth proportional to 312,987.33, 469,529.87 and 99,803.03 is: 149,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,987.33 : 469,529.87 = 99,803.03 : x
  2. Step 2: Convert to fraction form
    312,987.33/469,529.87 = 99,803.03/x
  3. Step 3: Cross multiply
    312,987.33x = 469,529.87 × 99,803.03
  4. Step 4: Simplify right side
    312,987.33x = 46,860,500,854.84
  5. Step 5: Solve for x
    x = 46,860,500,854.84/312,987.33
  6. Step 6: Final answer
    x = 149,720.12

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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.