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Finding the Fourth Proportional to 309,389.37, 464,084.45 and 84,751.78

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Solution

The fourth proportional to 309,389.37, 464,084.45 and 84,751.78 is: 127,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,389.37 : 464,084.45 = 84,751.78 : x
  2. Step 2: Convert to fraction form
    309,389.37/464,084.45 = 84,751.78/x
  3. Step 3: Cross multiply
    309,389.37x = 464,084.45 × 84,751.78
  4. Step 4: Simplify right side
    309,389.37x = 39,331,983,129.65
  5. Step 5: Solve for x
    x = 39,331,983,129.65/309,389.37
  6. Step 6: Final answer
    x = 127,127.78

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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.