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Finding the Fourth Proportional to 330,703.29, 455,695.07 and 312,839.01

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Solution

The fourth proportional to 330,703.29, 455,695.07 and 312,839.01 is: 431,078.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,703.29 : 455,695.07 = 312,839.01 : x
  2. Step 2: Convert to fraction form
    330,703.29/455,695.07 = 312,839.01/x
  3. Step 3: Cross multiply
    330,703.29x = 455,695.07 × 312,839.01
  4. Step 4: Simplify right side
    330,703.29x = 142,559,192,996.49
  5. Step 5: Solve for x
    x = 142,559,192,996.49/330,703.29
  6. Step 6: Final answer
    x = 431,078.85

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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.