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Finding the Fourth Proportional to 422,055.50, 632,886.20 and 152,148.09

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Solution

The fourth proportional to 422,055.50, 632,886.20 and 152,148.09 is: 228,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,055.50 : 632,886.20 = 152,148.09 : x
  2. Step 2: Convert to fraction form
    422,055.50/632,886.20 = 152,148.09/x
  3. Step 3: Cross multiply
    422,055.50x = 632,886.20 × 152,148.09
  4. Step 4: Simplify right side
    422,055.50x = 96,292,426,517.36
  5. Step 5: Solve for x
    x = 96,292,426,517.36/422,055.50
  6. Step 6: Final answer
    x = 228,151.10

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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.