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Finding the Fourth Proportional to 315,709.75, 473,604.90 and 144,890.02

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Solution

The fourth proportional to 315,709.75, 473,604.90 and 144,890.02 is: 217,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,709.75 : 473,604.90 = 144,890.02 : x
  2. Step 2: Convert to fraction form
    315,709.75/473,604.90 = 144,890.02/x
  3. Step 3: Cross multiply
    315,709.75x = 473,604.90 × 144,890.02
  4. Step 4: Simplify right side
    315,709.75x = 68,620,623,433.10
  5. Step 5: Solve for x
    x = 68,620,623,433.10/315,709.75
  6. Step 6: Final answer
    x = 217,353.51

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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.