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Finding the Fourth Proportional to 546,871.20, 819,723.60 and 209,781.60

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Solution

The fourth proportional to 546,871.20, 819,723.60 and 209,781.60 is: 314,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,871.20 : 819,723.60 = 209,781.60 : x
  2. Step 2: Convert to fraction form
    546,871.20/819,723.60 = 209,781.60/x
  3. Step 3: Cross multiply
    546,871.20x = 819,723.60 × 209,781.60
  4. Step 4: Simplify right side
    546,871.20x = 171,962,928,365.76
  5. Step 5: Solve for x
    x = 171,962,928,365.76/546,871.20
  6. Step 6: Final answer
    x = 314,448.68

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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.