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Finding the Fourth Proportional to 284,955.84, 393,239.34 and 157,640.04

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Solution

The fourth proportional to 284,955.84, 393,239.34 and 157,640.04 is: 217,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,955.84 : 393,239.34 = 157,640.04 : x
  2. Step 2: Convert to fraction form
    284,955.84/393,239.34 = 157,640.04/x
  3. Step 3: Cross multiply
    284,955.84x = 393,239.34 × 157,640.04
  4. Step 4: Simplify right side
    284,955.84x = 61,990,265,287.17
  5. Step 5: Solve for x
    x = 61,990,265,287.17/284,955.84
  6. Step 6: Final answer
    x = 217,543.41

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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.