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Finding the Fourth Proportional to 429,563.12, 644,423.73 and 141,390.93

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Solution

The fourth proportional to 429,563.12, 644,423.73 and 141,390.93 is: 212,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,563.12 : 644,423.73 = 141,390.93 : x
  2. Step 2: Convert to fraction form
    429,563.12/644,423.73 = 141,390.93/x
  3. Step 3: Cross multiply
    429,563.12x = 644,423.73 × 141,390.93
  4. Step 4: Simplify right side
    429,563.12x = 91,115,673,180.47
  5. Step 5: Solve for x
    x = 91,115,673,180.47/429,563.12
  6. Step 6: Final answer
    x = 212,112.42

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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.