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Finding the Fourth Proportional to 284,062.15, 392,013.91 and 156,745.95

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Solution

The fourth proportional to 284,062.15, 392,013.91 and 156,745.95 is: 216,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,062.15 : 392,013.91 = 156,745.95 : x
  2. Step 2: Convert to fraction form
    284,062.15/392,013.91 = 156,745.95/x
  3. Step 3: Cross multiply
    284,062.15x = 392,013.91 × 156,745.95
  4. Step 4: Simplify right side
    284,062.15x = 61,446,592,736.16
  5. Step 5: Solve for x
    x = 61,446,592,736.16/284,062.15
  6. Step 6: Final answer
    x = 216,313.90

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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.