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Finding the Fourth Proportional to 306,095.20, 459,142.80 and 272,852.80

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Solution

The fourth proportional to 306,095.20, 459,142.80 and 272,852.80 is: 409,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,095.20 : 459,142.80 = 272,852.80 : x
  2. Step 2: Convert to fraction form
    306,095.20/459,142.80 = 272,852.80/x
  3. Step 3: Cross multiply
    306,095.20x = 459,142.80 × 272,852.80
  4. Step 4: Simplify right side
    306,095.20x = 125,278,398,579.84
  5. Step 5: Solve for x
    x = 125,278,398,579.84/306,095.20
  6. Step 6: Final answer
    x = 409,279.20

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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.