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Finding the Fourth Proportional to 387,942.16, 535,696.56 and 286,144.04

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Solution

The fourth proportional to 387,942.16, 535,696.56 and 286,144.04 is: 395,126.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,942.16 : 535,696.56 = 286,144.04 : x
  2. Step 2: Convert to fraction form
    387,942.16/535,696.56 = 286,144.04/x
  3. Step 3: Cross multiply
    387,942.16x = 535,696.56 × 286,144.04
  4. Step 4: Simplify right side
    387,942.16x = 153,286,377,892.50
  5. Step 5: Solve for x
    x = 153,286,377,892.50/387,942.16
  6. Step 6: Final answer
    x = 395,126.89

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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.