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Finding the Fourth Proportional to 342,403.70, 513,678.45 and 105,770.30

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Solution

The fourth proportional to 342,403.70, 513,678.45 and 105,770.30 is: 158,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,403.70 : 513,678.45 = 105,770.30 : x
  2. Step 2: Convert to fraction form
    342,403.70/513,678.45 = 105,770.30/x
  3. Step 3: Cross multiply
    342,403.70x = 513,678.45 × 105,770.30
  4. Step 4: Simplify right side
    342,403.70x = 54,331,923,760.04
  5. Step 5: Solve for x
    x = 54,331,923,760.04/342,403.70
  6. Step 6: Final answer
    x = 158,677.97

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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.