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Finding the Fourth Proportional to 421,502,246.40, 632,253,369.60 and 149,180,505.60

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Solution

The fourth proportional to 421,502,246.40, 632,253,369.60 and 149,180,505.60 is: 223,770,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,502,246.40 : 632,253,369.60 = 149,180,505.60 : x
  2. Step 2: Convert to fraction form
    421,502,246.40/632,253,369.60 = 149,180,505.60/x
  3. Step 3: Cross multiply
    421,502,246.40x = 632,253,369.60 × 149,180,505.60
  4. Step 4: Simplify right side
    421,502,246.40x = 94,319,877,344,231,664
  5. Step 5: Solve for x
    x = 94,319,877,344,231,664/421,502,246.40
  6. Step 6: Final answer
    x = 223,770,758.40

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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.