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Finding the Fourth Proportional to 284,774.82, 392,976.81 and 155,710.86

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Solution

The fourth proportional to 284,774.82, 392,976.81 and 155,710.86 is: 214,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,774.82 : 392,976.81 = 155,710.86 : x
  2. Step 2: Convert to fraction form
    284,774.82/392,976.81 = 155,710.86/x
  3. Step 3: Cross multiply
    284,774.82x = 392,976.81 × 155,710.86
  4. Step 4: Simplify right side
    284,774.82x = 61,190,757,045.16
  5. Step 5: Solve for x
    x = 61,190,757,045.16/284,774.82
  6. Step 6: Final answer
    x = 214,874.18

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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.