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Finding the Fourth Proportional to 284,104.60, 392,054.94 and 156,780.28

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Solution

The fourth proportional to 284,104.60, 392,054.94 and 156,780.28 is: 216,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,104.60 : 392,054.94 = 156,780.28 : x
  2. Step 2: Convert to fraction form
    284,104.60/392,054.94 = 156,780.28/x
  3. Step 3: Cross multiply
    284,104.60x = 392,054.94 × 156,780.28
  4. Step 4: Simplify right side
    284,104.60x = 61,466,483,268.58
  5. Step 5: Solve for x
    x = 61,466,483,268.58/284,104.60
  6. Step 6: Final answer
    x = 216,351.59

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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.