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Finding the Fourth Proportional to 500,346.54, 750,712.19 and 300,804.66

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Solution

The fourth proportional to 500,346.54, 750,712.19 and 300,804.66 is: 451,322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,346.54 : 750,712.19 = 300,804.66 : x
  2. Step 2: Convert to fraction form
    500,346.54/750,712.19 = 300,804.66/x
  3. Step 3: Cross multiply
    500,346.54x = 750,712.19 × 300,804.66
  4. Step 4: Simplify right side
    500,346.54x = 225,817,723,566.78
  5. Step 5: Solve for x
    x = 225,817,723,566.78/500,346.54
  6. Step 6: Final answer
    x = 451,322.64

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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.