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Finding the Fourth Proportional to 284,135.37, 392,104.98 and 156,810.96

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Solution

The fourth proportional to 284,135.37, 392,104.98 and 156,810.96 is: 216,398.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,135.37 : 392,104.98 = 156,810.96 : x
  2. Step 2: Convert to fraction form
    284,135.37/392,104.98 = 156,810.96/x
  3. Step 3: Cross multiply
    284,135.37x = 392,104.98 × 156,810.96
  4. Step 4: Simplify right side
    284,135.37x = 61,486,358,334.58
  5. Step 5: Solve for x
    x = 61,486,358,334.58/284,135.37
  6. Step 6: Final answer
    x = 216,398.11

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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.