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Finding the Fourth Proportional to 329,430.30, 494,145.45 and 278,108.70

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Solution

The fourth proportional to 329,430.30, 494,145.45 and 278,108.70 is: 417,163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,430.30 : 494,145.45 = 278,108.70 : x
  2. Step 2: Convert to fraction form
    329,430.30/494,145.45 = 278,108.70/x
  3. Step 3: Cross multiply
    329,430.30x = 494,145.45 × 278,108.70
  4. Step 4: Simplify right side
    329,430.30x = 137,426,148,710.42
  5. Step 5: Solve for x
    x = 137,426,148,710.42/329,430.30
  6. Step 6: Final answer
    x = 417,163.05

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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.