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Finding the Fourth Proportional to 422,737.60, 634,106.40 and 142,225.60

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Solution

The fourth proportional to 422,737.60, 634,106.40 and 142,225.60 is: 213,338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,737.60 : 634,106.40 = 142,225.60 : x
  2. Step 2: Convert to fraction form
    422,737.60/634,106.40 = 142,225.60/x
  3. Step 3: Cross multiply
    422,737.60x = 634,106.40 × 142,225.60
  4. Step 4: Simplify right side
    422,737.60x = 90,186,163,203.84
  5. Step 5: Solve for x
    x = 90,186,163,203.84/422,737.60
  6. Step 6: Final answer
    x = 213,338.40

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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.