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Finding the Fourth Proportional to 306,102.40, 459,218.40 and 92,852.80

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Solution

The fourth proportional to 306,102.40, 459,218.40 and 92,852.80 is: 139,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,102.40 : 459,218.40 = 92,852.80 : x
  2. Step 2: Convert to fraction form
    306,102.40/459,218.40 = 92,852.80/x
  3. Step 3: Cross multiply
    306,102.40x = 459,218.40 × 92,852.80
  4. Step 4: Simplify right side
    306,102.40x = 42,639,714,251.52
  5. Step 5: Solve for x
    x = 42,639,714,251.52/306,102.40
  6. Step 6: Final answer
    x = 139,298.86

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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.