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Finding the Fourth Proportional to 257,085.60, 385,628.40 and 217,816.80

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Solution

The fourth proportional to 257,085.60, 385,628.40 and 217,816.80 is: 326,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,085.60 : 385,628.40 = 217,816.80 : x
  2. Step 2: Convert to fraction form
    257,085.60/385,628.40 = 217,816.80/x
  3. Step 3: Cross multiply
    257,085.60x = 385,628.40 × 217,816.80
  4. Step 4: Simplify right side
    257,085.60x = 83,996,344,077.12
  5. Step 5: Solve for x
    x = 83,996,344,077.12/257,085.60
  6. Step 6: Final answer
    x = 326,725.20

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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.