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Finding the Fourth Proportional to 309,389.85, 464,129.28 and 117,334.98

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Solution

The fourth proportional to 309,389.85, 464,129.28 and 117,334.98 is: 176,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,389.85 : 464,129.28 = 117,334.98 : x
  2. Step 2: Convert to fraction form
    309,389.85/464,129.28 = 117,334.98/x
  3. Step 3: Cross multiply
    309,389.85x = 464,129.28 × 117,334.98
  4. Step 4: Simplify right side
    309,389.85x = 54,458,599,786.21
  5. Step 5: Solve for x
    x = 54,458,599,786.21/309,389.85
  6. Step 6: Final answer
    x = 176,019.35

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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.