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Finding the Fourth Proportional to 429,225.84, 643,765.32 and 113,714.64

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Solution

The fourth proportional to 429,225.84, 643,765.32 and 113,714.64 is: 170,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,225.84 : 643,765.32 = 113,714.64 : x
  2. Step 2: Convert to fraction form
    429,225.84/643,765.32 = 113,714.64/x
  3. Step 3: Cross multiply
    429,225.84x = 643,765.32 × 113,714.64
  4. Step 4: Simplify right side
    429,225.84x = 73,205,541,608.28
  5. Step 5: Solve for x
    x = 73,205,541,608.28/429,225.84
  6. Step 6: Final answer
    x = 170,552.50

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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.