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Finding the Fourth Proportional to 284,326.86, 392,438.37 and 163,537.94

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Solution

The fourth proportional to 284,326.86, 392,438.37 and 163,537.94 is: 225,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,326.86 : 392,438.37 = 163,537.94 : x
  2. Step 2: Convert to fraction form
    284,326.86/392,438.37 = 163,537.94/x
  3. Step 3: Cross multiply
    284,326.86x = 392,438.37 × 163,537.94
  4. Step 4: Simplify right side
    284,326.86x = 64,178,562,606.76
  5. Step 5: Solve for x
    x = 64,178,562,606.76/284,326.86
  6. Step 6: Final answer
    x = 225,721.07

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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.