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Finding the Fourth Proportional to 314,930,755.70, 472,396,133.55 and 185,471,728.10

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Solution

The fourth proportional to 314,930,755.70, 472,396,133.55 and 185,471,728.10 is: 278,207,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,930,755.70 : 472,396,133.55 = 185,471,728.10 : x
  2. Step 2: Convert to fraction form
    314,930,755.70/472,396,133.55 = 185,471,728.10/x
  3. Step 3: Cross multiply
    314,930,755.70x = 472,396,133.55 × 185,471,728.10
  4. Step 4: Simplify right side
    314,930,755.70x = 87,616,127,237,276,880
  5. Step 5: Solve for x
    x = 87,616,127,237,276,880/314,930,755.70
  6. Step 6: Final answer
    x = 278,207,592.15

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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.