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Finding the Fourth Proportional to 310,742, 428,856.89 and 189,953.99

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Solution

The fourth proportional to 310,742, 428,856.89 and 189,953.99 is: 262,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,742 : 428,856.89 = 189,953.99 : x
  2. Step 2: Convert to fraction form
    310,742/428,856.89 = 189,953.99/x
  3. Step 3: Cross multiply
    310,742x = 428,856.89 × 189,953.99
  4. Step 4: Simplify right side
    310,742x = 81,463,077,394.49
  5. Step 5: Solve for x
    x = 81,463,077,394.49/310,742
  6. Step 6: Final answer
    x = 262,156.64

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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.