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Finding the Fourth Proportional to 422,384.72, 633,671.64 and 141,894.32

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Solution

The fourth proportional to 422,384.72, 633,671.64 and 141,894.32 is: 212,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,384.72 : 633,671.64 = 141,894.32 : x
  2. Step 2: Convert to fraction form
    422,384.72/633,671.64 = 141,894.32/x
  3. Step 3: Cross multiply
    422,384.72x = 633,671.64 × 141,894.32
  4. Step 4: Simplify right side
    422,384.72x = 89,914,406,461.08
  5. Step 5: Solve for x
    x = 89,914,406,461.08/422,384.72
  6. Step 6: Final answer
    x = 212,873.25

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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.