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Finding the Fourth Proportional to 523,401.57, 785,107.17 and 144,328.86

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Solution

The fourth proportional to 523,401.57, 785,107.17 and 144,328.86 is: 216,494.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,401.57 : 785,107.17 = 144,328.86 : x
  2. Step 2: Convert to fraction form
    523,401.57/785,107.17 = 144,328.86/x
  3. Step 3: Cross multiply
    523,401.57x = 785,107.17 × 144,328.86
  4. Step 4: Simplify right side
    523,401.57x = 113,313,622,823.93
  5. Step 5: Solve for x
    x = 113,313,622,823.93/523,401.57
  6. Step 6: Final answer
    x = 216,494.62

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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.