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Finding the Fourth Proportional to 284,203.24, 392,200.82 and 156,878.83

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Solution

The fourth proportional to 284,203.24, 392,200.82 and 156,878.83 is: 216,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,203.24 : 392,200.82 = 156,878.83 : x
  2. Step 2: Convert to fraction form
    284,203.24/392,200.82 = 156,878.83/x
  3. Step 3: Cross multiply
    284,203.24x = 392,200.82 × 156,878.83
  4. Step 4: Simplify right side
    284,203.24x = 61,528,005,766.64
  5. Step 5: Solve for x
    x = 61,528,005,766.64/284,203.24
  6. Step 6: Final answer
    x = 216,492.98

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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.