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Finding the Fourth Proportional to 409,619.66, 614,499.84 and 125,303.31

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Solution

The fourth proportional to 409,619.66, 614,499.84 and 125,303.31 is: 187,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,619.66 : 614,499.84 = 125,303.31 : x
  2. Step 2: Convert to fraction form
    409,619.66/614,499.84 = 125,303.31/x
  3. Step 3: Cross multiply
    409,619.66x = 614,499.84 × 125,303.31
  4. Step 4: Simplify right side
    409,619.66x = 76,998,863,946.47
  5. Step 5: Solve for x
    x = 76,998,863,946.47/409,619.66
  6. Step 6: Final answer
    x = 187,976.49

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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.