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Finding the Fourth Proportional to 284,867.72, 393,101.42 and 155,780.56

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Solution

The fourth proportional to 284,867.72, 393,101.42 and 155,780.56 is: 214,968.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,867.72 : 393,101.42 = 155,780.56 : x
  2. Step 2: Convert to fraction form
    284,867.72/393,101.42 = 155,780.56/x
  3. Step 3: Cross multiply
    284,867.72x = 393,101.42 × 155,780.56
  4. Step 4: Simplify right side
    284,867.72x = 61,237,559,344.40
  5. Step 5: Solve for x
    x = 61,237,559,344.40/284,867.72
  6. Step 6: Final answer
    x = 214,968.40

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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.