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Finding the Fourth Proportional to 284,581.18, 392,722.17 and 157,256.77

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Solution

The fourth proportional to 284,581.18, 392,722.17 and 157,256.77 is: 217,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,581.18 : 392,722.17 = 157,256.77 : x
  2. Step 2: Convert to fraction form
    284,581.18/392,722.17 = 157,256.77/x
  3. Step 3: Cross multiply
    284,581.18x = 392,722.17 × 157,256.77
  4. Step 4: Simplify right side
    284,581.18x = 61,758,219,666.21
  5. Step 5: Solve for x
    x = 61,758,219,666.21/284,581.18
  6. Step 6: Final answer
    x = 217,014.42

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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.