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Finding the Fourth Proportional to 284,584.62, 392,726.91 and 157,260.21

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Solution

The fourth proportional to 284,584.62, 392,726.91 and 157,260.21 is: 217,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,584.62 : 392,726.91 = 157,260.21 : x
  2. Step 2: Convert to fraction form
    284,584.62/392,726.91 = 157,260.21/x
  3. Step 3: Cross multiply
    284,584.62x = 392,726.91 × 157,260.21
  4. Step 4: Simplify right side
    284,584.62x = 61,760,316,339.25
  5. Step 5: Solve for x
    x = 61,760,316,339.25/284,584.62
  6. Step 6: Final answer
    x = 217,019.16

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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.