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Finding the Fourth Proportional to 284,272.76, 392,330.81 and 161,794.93

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Solution

The fourth proportional to 284,272.76, 392,330.81 and 161,794.93 is: 223,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272.76 : 392,330.81 = 161,794.93 : x
  2. Step 2: Convert to fraction form
    284,272.76/392,330.81 = 161,794.93/x
  3. Step 3: Cross multiply
    284,272.76x = 392,330.81 × 161,794.93
  4. Step 4: Simplify right side
    284,272.76x = 63,477,135,940.79
  5. Step 5: Solve for x
    x = 63,477,135,940.79/284,272.76
  6. Step 6: Final answer
    x = 223,296.58

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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.