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Finding the Fourth Proportional to 615,811.68, 923,743.60 and 195,078.24

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Solution

The fourth proportional to 615,811.68, 923,743.60 and 195,078.24 is: 292,625.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,811.68 : 923,743.60 = 195,078.24 : x
  2. Step 2: Convert to fraction form
    615,811.68/923,743.60 = 195,078.24/x
  3. Step 3: Cross multiply
    615,811.68x = 923,743.60 × 195,078.24
  4. Step 4: Simplify right side
    615,811.68x = 180,202,275,699.26
  5. Step 5: Solve for x
    x = 180,202,275,699.26/615,811.68
  6. Step 6: Final answer
    x = 292,625.62

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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.