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Finding the Fourth Proportional to 284,311, 392,349.18 and 171,155.62

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Solution

The fourth proportional to 284,311, 392,349.18 and 171,155.62 is: 236,194.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,311 : 392,349.18 = 171,155.62 : x
  2. Step 2: Convert to fraction form
    284,311/392,349.18 = 171,155.62/x
  3. Step 3: Cross multiply
    284,311x = 392,349.18 × 171,155.62
  4. Step 4: Simplify right side
    284,311x = 67,152,767,159.39
  5. Step 5: Solve for x
    x = 67,152,767,159.39/284,311
  6. Step 6: Final answer
    x = 236,194.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.