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Finding the Fourth Proportional to 429,780.12, 644,669.28 and 114,237

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Solution

The fourth proportional to 429,780.12, 644,669.28 and 114,237 is: 171,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,780.12 : 644,669.28 = 114,237 : x
  2. Step 2: Convert to fraction form
    429,780.12/644,669.28 = 114,237/x
  3. Step 3: Cross multiply
    429,780.12x = 644,669.28 × 114,237
  4. Step 4: Simplify right side
    429,780.12x = 73,645,084,539.36
  5. Step 5: Solve for x
    x = 73,645,084,539.36/429,780.12
  6. Step 6: Final answer
    x = 171,355.26

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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.