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Finding the Fourth Proportional to 429,783.84, 644,674.95 and 114,240.75

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Solution

The fourth proportional to 429,783.84, 644,674.95 and 114,240.75 is: 171,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,783.84 : 644,674.95 = 114,240.75 : x
  2. Step 2: Convert to fraction form
    429,783.84/644,674.95 = 114,240.75/x
  3. Step 3: Cross multiply
    429,783.84x = 644,674.95 × 114,240.75
  4. Step 4: Simplify right side
    429,783.84x = 73,648,147,376.68
  5. Step 5: Solve for x
    x = 73,648,147,376.68/429,783.84
  6. Step 6: Final answer
    x = 171,360.90

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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.