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Finding the Fourth Proportional to 480,411.77, 720,874.62 and 311,892.48

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Solution

The fourth proportional to 480,411.77, 720,874.62 and 311,892.48 is: 468,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,411.77 : 720,874.62 = 311,892.48 : x
  2. Step 2: Convert to fraction form
    480,411.77/720,874.62 = 311,892.48/x
  3. Step 3: Cross multiply
    480,411.77x = 720,874.62 × 311,892.48
  4. Step 4: Simplify right side
    480,411.77x = 224,835,373,000.86
  5. Step 5: Solve for x
    x = 224,835,373,000.86/480,411.77
  6. Step 6: Final answer
    x = 468,005.55

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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.