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Finding the Fourth Proportional to 477,815, 716,706.60 and 140,861.24

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Solution

The fourth proportional to 477,815, 716,706.60 and 140,861.24 is: 211,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,815 : 716,706.60 = 140,861.24 : x
  2. Step 2: Convert to fraction form
    477,815/716,706.60 = 140,861.24/x
  3. Step 3: Cross multiply
    477,815x = 716,706.60 × 140,861.24
  4. Step 4: Simplify right side
    477,815x = 100,956,180,392.18
  5. Step 5: Solve for x
    x = 100,956,180,392.18/477,815
  6. Step 6: Final answer
    x = 211,287.17

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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.