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Finding the Fourth Proportional to 313,002.54, 469,537.65 and 99,720.15

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Solution

The fourth proportional to 313,002.54, 469,537.65 and 99,720.15 is: 149,591.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,002.54 : 469,537.65 = 99,720.15 : x
  2. Step 2: Convert to fraction form
    313,002.54/469,537.65 = 99,720.15/x
  3. Step 3: Cross multiply
    313,002.54x = 469,537.65 × 99,720.15
  4. Step 4: Simplify right side
    313,002.54x = 46,822,364,888.65
  5. Step 5: Solve for x
    x = 46,822,364,888.65/313,002.54
  6. Step 6: Final answer
    x = 149,591.01

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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.