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Finding the Fourth Proportional to 256,834.80, 385,252.20 and 225,730.80

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Solution

The fourth proportional to 256,834.80, 385,252.20 and 225,730.80 is: 338,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,834.80 : 385,252.20 = 225,730.80 : x
  2. Step 2: Convert to fraction form
    256,834.80/385,252.20 = 225,730.80/x
  3. Step 3: Cross multiply
    256,834.80x = 385,252.20 × 225,730.80
  4. Step 4: Simplify right side
    256,834.80x = 86,963,287,307.76
  5. Step 5: Solve for x
    x = 86,963,287,307.76/256,834.80
  6. Step 6: Final answer
    x = 338,596.20

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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.