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Finding the Fourth Proportional to 286,363.56, 429,420 and 117,771.24

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Solution

The fourth proportional to 286,363.56, 429,420 and 117,771.24 is: 176,605.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,363.56 : 429,420 = 117,771.24 : x
  2. Step 2: Convert to fraction form
    286,363.56/429,420 = 117,771.24/x
  3. Step 3: Cross multiply
    286,363.56x = 429,420 × 117,771.24
  4. Step 4: Simplify right side
    286,363.56x = 50,573,325,880.80
  5. Step 5: Solve for x
    x = 50,573,325,880.80/286,363.56
  6. Step 6: Final answer
    x = 176,605.31

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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.