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Finding the Fourth Proportional to 523,685.45, 785,512.15 and 144,629.15

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Solution

The fourth proportional to 523,685.45, 785,512.15 and 144,629.15 is: 216,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,685.45 : 785,512.15 = 144,629.15 : x
  2. Step 2: Convert to fraction form
    523,685.45/785,512.15 = 144,629.15/x
  3. Step 3: Cross multiply
    523,685.45x = 785,512.15 × 144,629.15
  4. Step 4: Simplify right side
    523,685.45x = 113,607,950,280.04
  5. Step 5: Solve for x
    x = 113,607,950,280.04/523,685.45
  6. Step 6: Final answer
    x = 216,939.29

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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.