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Finding the Fourth Proportional to 329,431.80, 493,856.10 and 294,002.40

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Solution

The fourth proportional to 329,431.80, 493,856.10 and 294,002.40 is: 440,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,431.80 : 493,856.10 = 294,002.40 : x
  2. Step 2: Convert to fraction form
    329,431.80/493,856.10 = 294,002.40/x
  3. Step 3: Cross multiply
    329,431.80x = 493,856.10 × 294,002.40
  4. Step 4: Simplify right side
    329,431.80x = 145,194,878,654.64
  5. Step 5: Solve for x
    x = 145,194,878,654.64/329,431.80
  6. Step 6: Final answer
    x = 440,743.36

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1.5x scale

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.