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Finding the Fourth Proportional to 308,527.20, 462,790.80 and 257,788.80

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Solution

The fourth proportional to 308,527.20, 462,790.80 and 257,788.80 is: 386,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,527.20 : 462,790.80 = 257,788.80 : x
  2. Step 2: Convert to fraction form
    308,527.20/462,790.80 = 257,788.80/x
  3. Step 3: Cross multiply
    308,527.20x = 462,790.80 × 257,788.80
  4. Step 4: Simplify right side
    308,527.20x = 119,302,284,983.04
  5. Step 5: Solve for x
    x = 119,302,284,983.04/308,527.20
  6. Step 6: Final answer
    x = 386,683.20

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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.