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Finding the Fourth Proportional to 284,726.43, 392,902.74 and 157,392

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Solution

The fourth proportional to 284,726.43, 392,902.74 and 157,392 is: 217,190.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.43 : 392,902.74 = 157,392 : x
  2. Step 2: Convert to fraction form
    284,726.43/392,902.74 = 157,392/x
  3. Step 3: Cross multiply
    284,726.43x = 392,902.74 × 157,392
  4. Step 4: Simplify right side
    284,726.43x = 61,839,748,054.08
  5. Step 5: Solve for x
    x = 61,839,748,054.08/284,726.43
  6. Step 6: Final answer
    x = 217,190.05

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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.