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Finding the Fourth Proportional to 299,653,438.40, 449,564,138.40 and 146,304,497.60

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Solution

The fourth proportional to 299,653,438.40, 449,564,138.40 and 146,304,497.60 is: 219,497,749.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,653,438.40 : 449,564,138.40 = 146,304,497.60 : x
  2. Step 2: Convert to fraction form
    299,653,438.40/449,564,138.40 = 146,304,497.60/x
  3. Step 3: Cross multiply
    299,653,438.40x = 449,564,138.40 × 146,304,497.60
  4. Step 4: Simplify right side
    299,653,438.40x = 65,773,255,407,588,864
  5. Step 5: Solve for x
    x = 65,773,255,407,588,864/299,653,438.40
  6. Step 6: Final answer
    x = 219,497,749.66

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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.