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Finding the Fourth Proportional to 282,400.32, 423,600.64 and 177,293.10

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Solution

The fourth proportional to 282,400.32, 423,600.64 and 177,293.10 is: 265,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,400.32 : 423,600.64 = 177,293.10 : x
  2. Step 2: Convert to fraction form
    282,400.32/423,600.64 = 177,293.10/x
  3. Step 3: Cross multiply
    282,400.32x = 423,600.64 × 177,293.10
  4. Step 4: Simplify right side
    282,400.32x = 75,101,471,772.85
  5. Step 5: Solve for x
    x = 75,101,471,772.85/282,400.32
  6. Step 6: Final answer
    x = 265,939.75

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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.