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Finding the Fourth Proportional to 309,389.30, 464,084.35 and 84,751.71

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Solution

The fourth proportional to 309,389.30, 464,084.35 and 84,751.71 is: 127,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,389.30 : 464,084.35 = 84,751.71 : x
  2. Step 2: Convert to fraction form
    309,389.30/464,084.35 = 84,751.71/x
  3. Step 3: Cross multiply
    309,389.30x = 464,084.35 × 84,751.71
  4. Step 4: Simplify right side
    309,389.30x = 39,331,942,034.86
  5. Step 5: Solve for x
    x = 39,331,942,034.86/309,389.30
  6. Step 6: Final answer
    x = 127,127.67

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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.