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Finding the Fourth Proportional to 378,125.66, 566,775.83 and 186,132.21

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Solution

The fourth proportional to 378,125.66, 566,775.83 and 186,132.21 is: 278,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,125.66 : 566,775.83 = 186,132.21 : x
  2. Step 2: Convert to fraction form
    378,125.66/566,775.83 = 186,132.21/x
  3. Step 3: Cross multiply
    378,125.66x = 566,775.83 × 186,132.21
  4. Step 4: Simplify right side
    378,125.66x = 105,495,236,881.82
  5. Step 5: Solve for x
    x = 105,495,236,881.82/378,125.66
  6. Step 6: Final answer
    x = 278,995.18

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1.5x scale

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.