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Finding the Fourth Proportional to 257,624.74, 355,542.78 and 142,914.70

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Solution

The fourth proportional to 257,624.74, 355,542.78 and 142,914.70 is: 197,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,624.74 : 355,542.78 = 142,914.70 : x
  2. Step 2: Convert to fraction form
    257,624.74/355,542.78 = 142,914.70/x
  3. Step 3: Cross multiply
    257,624.74x = 355,542.78 × 142,914.70
  4. Step 4: Simplify right side
    257,624.74x = 50,812,289,740.87
  5. Step 5: Solve for x
    x = 50,812,289,740.87/257,624.74
  6. Step 6: Final answer
    x = 197,233.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.