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Finding the Fourth Proportional to 272,773.63, 409,135.19 and 128,646.40

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Solution

The fourth proportional to 272,773.63, 409,135.19 and 128,646.40 is: 192,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,773.63 : 409,135.19 = 128,646.40 : x
  2. Step 2: Convert to fraction form
    272,773.63/409,135.19 = 128,646.40/x
  3. Step 3: Cross multiply
    272,773.63x = 409,135.19 × 128,646.40
  4. Step 4: Simplify right side
    272,773.63x = 52,633,767,582.76
  5. Step 5: Solve for x
    x = 52,633,767,582.76/272,773.63
  6. Step 6: Final answer
    x = 192,957.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.