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Finding the Fourth Proportional to 284,230.22, 392,238.47 and 156,905.82

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Solution

The fourth proportional to 284,230.22, 392,238.47 and 156,905.82 is: 216,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,230.22 : 392,238.47 = 156,905.82 : x
  2. Step 2: Convert to fraction form
    284,230.22/392,238.47 = 156,905.82/x
  3. Step 3: Cross multiply
    284,230.22x = 392,238.47 × 156,905.82
  4. Step 4: Simplify right side
    284,230.22x = 61,544,497,986.37
  5. Step 5: Solve for x
    x = 61,544,497,986.37/284,230.22
  6. Step 6: Final answer
    x = 216,530.46

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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.