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Finding the Fourth Proportional to 562,009.20, 842,619.60 and 206,977.20

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Solution

The fourth proportional to 562,009.20, 842,619.60 and 206,977.20 is: 310,320.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,009.20 : 842,619.60 = 206,977.20 : x
  2. Step 2: Convert to fraction form
    562,009.20/842,619.60 = 206,977.20/x
  3. Step 3: Cross multiply
    562,009.20x = 842,619.60 × 206,977.20
  4. Step 4: Simplify right side
    562,009.20x = 174,403,045,473.12
  5. Step 5: Solve for x
    x = 174,403,045,473.12/562,009.20
  6. Step 6: Final answer
    x = 310,320.62

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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.