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Finding the Fourth Proportional to 403,478.20, 605,411.70 and 284,894.20

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Solution

The fourth proportional to 403,478.20, 605,411.70 and 284,894.20 is: 427,478.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,478.20 : 605,411.70 = 284,894.20 : x
  2. Step 2: Convert to fraction form
    403,478.20/605,411.70 = 284,894.20/x
  3. Step 3: Cross multiply
    403,478.20x = 605,411.70 × 284,894.20
  4. Step 4: Simplify right side
    403,478.20x = 172,478,281,942.14
  5. Step 5: Solve for x
    x = 172,478,281,942.14/403,478.20
  6. Step 6: Final answer
    x = 427,478.56

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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.