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Finding the Fourth Proportional to 652,218.40, 978,327.60 and 278,970.40

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Solution

The fourth proportional to 652,218.40, 978,327.60 and 278,970.40 is: 418,455.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,218.40 : 978,327.60 = 278,970.40 : x
  2. Step 2: Convert to fraction form
    652,218.40/978,327.60 = 278,970.40/x
  3. Step 3: Cross multiply
    652,218.40x = 978,327.60 × 278,970.40
  4. Step 4: Simplify right side
    652,218.40x = 272,924,441,903.04
  5. Step 5: Solve for x
    x = 272,924,441,903.04/652,218.40
  6. Step 6: Final answer
    x = 418,455.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.