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Finding the Fourth Proportional to 290,164,294.16, 434,843,764.03 and 132,211,292.70

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Solution

The fourth proportional to 290,164,294.16, 434,843,764.03 and 132,211,292.70 is: 198,133,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,164,294.16 : 434,843,764.03 = 132,211,292.70 : x
  2. Step 2: Convert to fraction form
    290,164,294.16/434,843,764.03 = 132,211,292.70/x
  3. Step 3: Cross multiply
    290,164,294.16x = 434,843,764.03 × 132,211,292.70
  4. Step 4: Simplify right side
    290,164,294.16x = 57,491,256,166,074,936
  5. Step 5: Solve for x
    x = 57,491,256,166,074,936/290,164,294.16
  6. Step 6: Final answer
    x = 198,133,462.05

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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.