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Finding the Fourth Proportional to 302,591.20, 453,886.80 and 208,112.80

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Solution

The fourth proportional to 302,591.20, 453,886.80 and 208,112.80 is: 312,169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,591.20 : 453,886.80 = 208,112.80 : x
  2. Step 2: Convert to fraction form
    302,591.20/453,886.80 = 208,112.80/x
  3. Step 3: Cross multiply
    302,591.20x = 453,886.80 × 208,112.80
  4. Step 4: Simplify right side
    302,591.20x = 94,459,652,831.04
  5. Step 5: Solve for x
    x = 94,459,652,831.04/302,591.20
  6. Step 6: Final answer
    x = 312,169.20

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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.