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Finding the Fourth Proportional to 434,345, 651,357.72 and 149,963.30

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Solution

The fourth proportional to 434,345, 651,357.72 and 149,963.30 is: 224,889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,345 : 651,357.72 = 149,963.30 : x
  2. Step 2: Convert to fraction form
    434,345/651,357.72 = 149,963.30/x
  3. Step 3: Cross multiply
    434,345x = 651,357.72 × 149,963.30
  4. Step 4: Simplify right side
    434,345x = 97,679,753,171.68
  5. Step 5: Solve for x
    x = 97,679,753,171.68/434,345
  6. Step 6: Final answer
    x = 224,889.78

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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.