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Finding the Fourth Proportional to 432,726.25, 648,950.85 and 144,476

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Solution

The fourth proportional to 432,726.25, 648,950.85 and 144,476 is: 216,667.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,726.25 : 648,950.85 = 144,476 : x
  2. Step 2: Convert to fraction form
    432,726.25/648,950.85 = 144,476/x
  3. Step 3: Cross multiply
    432,726.25x = 648,950.85 × 144,476
  4. Step 4: Simplify right side
    432,726.25x = 93,757,823,004.60
  5. Step 5: Solve for x
    x = 93,757,823,004.60/432,726.25
  6. Step 6: Final answer
    x = 216,667.75

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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.