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Finding the Fourth Proportional to 284,468.20, 426,708.78 and 97,477

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Solution

The fourth proportional to 284,468.20, 426,708.78 and 97,477 is: 146,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,468.20 : 426,708.78 = 97,477 : x
  2. Step 2: Convert to fraction form
    284,468.20/426,708.78 = 97,477/x
  3. Step 3: Cross multiply
    284,468.20x = 426,708.78 × 97,477
  4. Step 4: Simplify right side
    284,468.20x = 41,594,291,748.06
  5. Step 5: Solve for x
    x = 41,594,291,748.06/284,468.20
  6. Step 6: Final answer
    x = 146,217.72

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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.