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Finding the Fourth Proportional to 526,756.80, 726,919.32 and 285,034.08

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Solution

The fourth proportional to 526,756.80, 726,919.32 and 285,034.08 is: 393,344.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,756.80 : 726,919.32 = 285,034.08 : x
  2. Step 2: Convert to fraction form
    526,756.80/726,919.32 = 285,034.08/x
  3. Step 3: Cross multiply
    526,756.80x = 726,919.32 × 285,034.08
  4. Step 4: Simplify right side
    526,756.80x = 207,196,779,610.43
  5. Step 5: Solve for x
    x = 207,196,779,610.43/526,756.80
  6. Step 6: Final answer
    x = 393,344.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.