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Finding the Fourth Proportional to 480,314, 720,244.68 and 280,691.84

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Solution

The fourth proportional to 480,314, 720,244.68 and 280,691.84 is: 420,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,314 : 720,244.68 = 280,691.84 : x
  2. Step 2: Convert to fraction form
    480,314/720,244.68 = 280,691.84/x
  3. Step 3: Cross multiply
    480,314x = 720,244.68 × 280,691.84
  4. Step 4: Simplify right side
    480,314x = 202,166,804,479.41
  5. Step 5: Solve for x
    x = 202,166,804,479.41/480,314
  6. Step 6: Final answer
    x = 420,905.50

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1.5x scale

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.