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Finding the Fourth Proportional to 284,204.30, 392,201.10 and 156,878.98

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Solution

The fourth proportional to 284,204.30, 392,201.10 and 156,878.98 is: 216,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,204.30 : 392,201.10 = 156,878.98 : x
  2. Step 2: Convert to fraction form
    284,204.30/392,201.10 = 156,878.98/x
  3. Step 3: Cross multiply
    284,204.30x = 392,201.10 × 156,878.98
  4. Step 4: Simplify right side
    284,204.30x = 61,528,108,522.88
  5. Step 5: Solve for x
    x = 61,528,108,522.88/284,204.30
  6. Step 6: Final answer
    x = 216,492.53

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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.