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Finding the Fourth Proportional to 300,417.15, 414,388.91 and 185,730.87

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Solution

The fourth proportional to 300,417.15, 414,388.91 and 185,730.87 is: 256,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,417.15 : 414,388.91 = 185,730.87 : x
  2. Step 2: Convert to fraction form
    300,417.15/414,388.91 = 185,730.87/x
  3. Step 3: Cross multiply
    300,417.15x = 414,388.91 × 185,730.87
  4. Step 4: Simplify right side
    300,417.15x = 76,964,814,790.94
  5. Step 5: Solve for x
    x = 76,964,814,790.94/300,417.15
  6. Step 6: Final answer
    x = 256,193.14

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1.5x scale

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.