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Finding the Fourth Proportional to 354,080.10, 529,824.15 and 260,768.10

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Solution

The fourth proportional to 354,080.10, 529,824.15 and 260,768.10 is: 390,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,080.10 : 529,824.15 = 260,768.10 : x
  2. Step 2: Convert to fraction form
    354,080.10/529,824.15 = 260,768.10/x
  3. Step 3: Cross multiply
    354,080.10x = 529,824.15 × 260,768.10
  4. Step 4: Simplify right side
    354,080.10x = 138,161,236,929.62
  5. Step 5: Solve for x
    x = 138,161,236,929.62/354,080.10
  6. Step 6: Final answer
    x = 390,197.69

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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.