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Finding the Fourth Proportional to 284,513.81, 392,633.19 and 157,192.34

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Solution

The fourth proportional to 284,513.81, 392,633.19 and 157,192.34 is: 216,927.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,513.81 : 392,633.19 = 157,192.34 : x
  2. Step 2: Convert to fraction form
    284,513.81/392,633.19 = 157,192.34/x
  3. Step 3: Cross multiply
    284,513.81x = 392,633.19 × 157,192.34
  4. Step 4: Simplify right side
    284,513.81x = 61,718,927,934.60
  5. Step 5: Solve for x
    x = 61,718,927,934.60/284,513.81
  6. Step 6: Final answer
    x = 216,927.71

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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.