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Finding the Fourth Proportional to 284,160.30, 392,113.31 and 156,827.69

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Solution

The fourth proportional to 284,160.30, 392,113.31 and 156,827.69 is: 216,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,160.30 : 392,113.31 = 156,827.69 : x
  2. Step 2: Convert to fraction form
    284,160.30/392,113.31 = 156,827.69/x
  3. Step 3: Cross multiply
    284,160.30x = 392,113.31 × 156,827.69
  4. Step 4: Simplify right side
    284,160.30x = 61,494,225,556.91
  5. Step 5: Solve for x
    x = 61,494,225,556.91/284,160.30
  6. Step 6: Final answer
    x = 216,406.81

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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.