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Finding the Fourth Proportional to 313,391.64, 470,152.47 and 142,531.96

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Solution

The fourth proportional to 313,391.64, 470,152.47 and 142,531.96 is: 213,827.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,391.64 : 470,152.47 = 142,531.96 : x
  2. Step 2: Convert to fraction form
    313,391.64/470,152.47 = 142,531.96/x
  3. Step 3: Cross multiply
    313,391.64x = 470,152.47 × 142,531.96
  4. Step 4: Simplify right side
    313,391.64x = 67,011,753,047.94
  5. Step 5: Solve for x
    x = 67,011,753,047.94/313,391.64
  6. Step 6: Final answer
    x = 213,827.51

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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.