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Finding the Fourth Proportional to 654,329.60, 980,765.40 and 254,837.60

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Solution

The fourth proportional to 654,329.60, 980,765.40 and 254,837.60 is: 381,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,329.60 : 980,765.40 = 254,837.60 : x
  2. Step 2: Convert to fraction form
    654,329.60/980,765.40 = 254,837.60/x
  3. Step 3: Cross multiply
    654,329.60x = 980,765.40 × 254,837.60
  4. Step 4: Simplify right side
    654,329.60x = 249,935,900,699.04
  5. Step 5: Solve for x
    x = 249,935,900,699.04/654,329.60
  6. Step 6: Final answer
    x = 381,972.48

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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.