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Finding the Fourth Proportional to 400,632.57, 601,029.05 and 147,914.60

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Solution

The fourth proportional to 400,632.57, 601,029.05 and 147,914.60 is: 221,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,632.57 : 601,029.05 = 147,914.60 : x
  2. Step 2: Convert to fraction form
    400,632.57/601,029.05 = 147,914.60/x
  3. Step 3: Cross multiply
    400,632.57x = 601,029.05 × 147,914.60
  4. Step 4: Simplify right side
    400,632.57x = 88,900,967,774.41
  5. Step 5: Solve for x
    x = 88,900,967,774.41/400,632.57
  6. Step 6: Final answer
    x = 221,901.50

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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.