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Finding the Fourth Proportional to 523,804.50, 722,850.21 and 285,340.50

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Solution

The fourth proportional to 523,804.50, 722,850.21 and 285,340.50 is: 393,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,804.50 : 722,850.21 = 285,340.50 : x
  2. Step 2: Convert to fraction form
    523,804.50/722,850.21 = 285,340.50/x
  3. Step 3: Cross multiply
    523,804.50x = 722,850.21 × 285,340.50
  4. Step 4: Simplify right side
    523,804.50x = 206,258,440,346.51
  5. Step 5: Solve for x
    x = 206,258,440,346.51/523,804.50
  6. Step 6: Final answer
    x = 393,769.89

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1.5x scale

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.