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Finding the Fourth Proportional to 330,701.70, 494,740.35 and 286,815.90

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Solution

The fourth proportional to 330,701.70, 494,740.35 and 286,815.90 is: 429,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,701.70 : 494,740.35 = 286,815.90 : x
  2. Step 2: Convert to fraction form
    330,701.70/494,740.35 = 286,815.90/x
  3. Step 3: Cross multiply
    330,701.70x = 494,740.35 × 286,815.90
  4. Step 4: Simplify right side
    330,701.70x = 141,899,398,751.57
  5. Step 5: Solve for x
    x = 141,899,398,751.57/330,701.70
  6. Step 6: Final answer
    x = 429,085.79

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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.