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Finding the Fourth Proportional to 378,636.58, 522,555.06 and 282,977.20

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Solution

The fourth proportional to 378,636.58, 522,555.06 and 282,977.20 is: 390,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,636.58 : 522,555.06 = 282,977.20 : x
  2. Step 2: Convert to fraction form
    378,636.58/522,555.06 = 282,977.20/x
  3. Step 3: Cross multiply
    378,636.58x = 522,555.06 × 282,977.20
  4. Step 4: Simplify right side
    378,636.58x = 147,871,167,724.63
  5. Step 5: Solve for x
    x = 147,871,167,724.63/378,636.58
  6. Step 6: Final answer
    x = 390,535.87

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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.