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Finding the Fourth Proportional to 393,345.20, 590,309.40 and 260,181.20

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Solution

The fourth proportional to 393,345.20, 590,309.40 and 260,181.20 is: 390,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,345.20 : 590,309.40 = 260,181.20 : x
  2. Step 2: Convert to fraction form
    393,345.20/590,309.40 = 260,181.20/x
  3. Step 3: Cross multiply
    393,345.20x = 590,309.40 × 260,181.20
  4. Step 4: Simplify right side
    393,345.20x = 153,587,408,063.28
  5. Step 5: Solve for x
    x = 153,587,408,063.28/393,345.20
  6. Step 6: Final answer
    x = 390,464.68

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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.