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Finding the Fourth Proportional to 284,640.75, 392,801.22 and 157,316.67

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Solution

The fourth proportional to 284,640.75, 392,801.22 and 157,316.67 is: 217,095.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,640.75 : 392,801.22 = 157,316.67 : x
  2. Step 2: Convert to fraction form
    284,640.75/392,801.22 = 157,316.67/x
  3. Step 3: Cross multiply
    284,640.75x = 392,801.22 × 157,316.67
  4. Step 4: Simplify right side
    284,640.75x = 61,794,179,902.34
  5. Step 5: Solve for x
    x = 61,794,179,902.34/284,640.75
  6. Step 6: Final answer
    x = 217,095.34

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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.