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Finding the Fourth Proportional to 378,256.60, 566,607.30 and 260,061.40

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Solution

The fourth proportional to 378,256.60, 566,607.30 and 260,061.40 is: 389,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,256.60 : 566,607.30 = 260,061.40 : x
  2. Step 2: Convert to fraction form
    378,256.60/566,607.30 = 260,061.40/x
  3. Step 3: Cross multiply
    378,256.60x = 566,607.30 × 260,061.40
  4. Step 4: Simplify right side
    378,256.60x = 147,352,687,688.22
  5. Step 5: Solve for x
    x = 147,352,687,688.22/378,256.60
  6. Step 6: Final answer
    x = 389,557.48

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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.