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Finding the Fourth Proportional to 284,157.78, 392,135.79 and 156,833.37

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Solution

The fourth proportional to 284,157.78, 392,135.79 and 156,833.37 is: 216,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157.78 : 392,135.79 = 156,833.37 : x
  2. Step 2: Convert to fraction form
    284,157.78/392,135.79 = 156,833.37/x
  3. Step 3: Cross multiply
    284,157.78x = 392,135.79 × 156,833.37
  4. Step 4: Simplify right side
    284,157.78x = 61,499,977,443.31
  5. Step 5: Solve for x
    x = 61,499,977,443.31/284,157.78
  6. Step 6: Final answer
    x = 216,428.98

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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.