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Finding the Fourth Proportional to 547,815.20, 821,866.80 and 173,837.60

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Solution

The fourth proportional to 547,815.20, 821,866.80 and 173,837.60 is: 260,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,815.20 : 821,866.80 = 173,837.60 : x
  2. Step 2: Convert to fraction form
    547,815.20/821,866.80 = 173,837.60/x
  3. Step 3: Cross multiply
    547,815.20x = 821,866.80 × 173,837.60
  4. Step 4: Simplify right side
    547,815.20x = 142,871,352,031.68
  5. Step 5: Solve for x
    x = 142,871,352,031.68/547,815.20
  6. Step 6: Final answer
    x = 260,802.10

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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.