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Finding the Fourth Proportional to 284,276, 426,416.16 and 97,289.12

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Solution

The fourth proportional to 284,276, 426,416.16 and 97,289.12 is: 145,934.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,276 : 426,416.16 = 97,289.12 : x
  2. Step 2: Convert to fraction form
    284,276/426,416.16 = 97,289.12/x
  3. Step 3: Cross multiply
    284,276x = 426,416.16 × 97,289.12
  4. Step 4: Simplify right side
    284,276x = 41,485,652,960.18
  5. Step 5: Solve for x
    x = 41,485,652,960.18/284,276
  6. Step 6: Final answer
    x = 145,934.42

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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.