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Finding the Fourth Proportional to 480,916, 720,905.20 and 200,513.44

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Solution

The fourth proportional to 480,916, 720,905.20 and 200,513.44 is: 300,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,916 : 720,905.20 = 200,513.44 : x
  2. Step 2: Convert to fraction form
    480,916/720,905.20 = 200,513.44/x
  3. Step 3: Cross multiply
    480,916x = 720,905.20 × 200,513.44
  4. Step 4: Simplify right side
    480,916x = 144,551,181,565.89
  5. Step 5: Solve for x
    x = 144,551,181,565.89/480,916
  6. Step 6: Final answer
    x = 300,574.70

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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.