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Finding the Fourth Proportional to 306,738, 460,298.22 and 117,215.28

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Solution

The fourth proportional to 306,738, 460,298.22 and 117,215.28 is: 175,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,738 : 460,298.22 = 117,215.28 : x
  2. Step 2: Convert to fraction form
    306,738/460,298.22 = 117,215.28/x
  3. Step 3: Cross multiply
    306,738x = 460,298.22 × 117,215.28
  4. Step 4: Simplify right side
    306,738x = 53,953,984,740.80
  5. Step 5: Solve for x
    x = 53,953,984,740.80/306,738
  6. Step 6: Final answer
    x = 175,895.99

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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.