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Finding the Fourth Proportional to 547,478.40, 821,140.80 and 173,539.20

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Solution

The fourth proportional to 547,478.40, 821,140.80 and 173,539.20 is: 260,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,478.40 : 821,140.80 = 173,539.20 : x
  2. Step 2: Convert to fraction form
    547,478.40/821,140.80 = 173,539.20/x
  3. Step 3: Cross multiply
    547,478.40x = 821,140.80 × 173,539.20
  4. Step 4: Simplify right side
    547,478.40x = 142,500,117,519.36
  5. Step 5: Solve for x
    x = 142,500,117,519.36/547,478.40
  6. Step 6: Final answer
    x = 260,284.46

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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.