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Finding the Fourth Proportional to 330,700.20, 494,738.10 and 286,814.40

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Solution

The fourth proportional to 330,700.20, 494,738.10 and 286,814.40 is: 429,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,700.20 : 494,738.10 = 286,814.40 : x
  2. Step 2: Convert to fraction form
    330,700.20/494,738.10 = 286,814.40/x
  3. Step 3: Cross multiply
    330,700.20x = 494,738.10 × 286,814.40
  4. Step 4: Simplify right side
    330,700.20x = 141,898,011,308.64
  5. Step 5: Solve for x
    x = 141,898,011,308.64/330,700.20
  6. Step 6: Final answer
    x = 429,083.54

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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.