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Finding the Fourth Proportional to 378,216.60, 566,547.30 and 260,021.40

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Solution

The fourth proportional to 378,216.60, 566,547.30 and 260,021.40 is: 389,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,216.60 : 566,547.30 = 260,021.40 : x
  2. Step 2: Convert to fraction form
    378,216.60/566,547.30 = 260,021.40/x
  3. Step 3: Cross multiply
    378,216.60x = 566,547.30 × 260,021.40
  4. Step 4: Simplify right side
    378,216.60x = 147,314,422,112.22
  5. Step 5: Solve for x
    x = 147,314,422,112.22/378,216.60
  6. Step 6: Final answer
    x = 389,497.51

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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.