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Finding the Fourth Proportional to 400,633.07, 601,029.80 and 147,915.10

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Solution

The fourth proportional to 400,633.07, 601,029.80 and 147,915.10 is: 221,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,633.07 : 601,029.80 = 147,915.10 : x
  2. Step 2: Convert to fraction form
    400,633.07/601,029.80 = 147,915.10/x
  3. Step 3: Cross multiply
    400,633.07x = 601,029.80 × 147,915.10
  4. Step 4: Simplify right side
    400,633.07x = 88,901,379,225.26
  5. Step 5: Solve for x
    x = 88,901,379,225.26/400,633.07
  6. Step 6: Final answer
    x = 221,902.25

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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.