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Finding the Fourth Proportional to 617,746.50, 852,504.57 and 345,807.54

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Solution

The fourth proportional to 617,746.50, 852,504.57 and 345,807.54 is: 477,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,746.50 : 852,504.57 = 345,807.54 : x
  2. Step 2: Convert to fraction form
    617,746.50/852,504.57 = 345,807.54/x
  3. Step 3: Cross multiply
    617,746.50x = 852,504.57 × 345,807.54
  4. Step 4: Simplify right side
    617,746.50x = 294,802,508,190.46
  5. Step 5: Solve for x
    x = 294,802,508,190.46/617,746.50
  6. Step 6: Final answer
    x = 477,222.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.