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Finding the Fourth Proportional to 413,744.80, 621,200.40 and 256,280.80

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Solution

The fourth proportional to 413,744.80, 621,200.40 and 256,280.80 is: 384,782.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,744.80 : 621,200.40 = 256,280.80 : x
  2. Step 2: Convert to fraction form
    413,744.80/621,200.40 = 256,280.80/x
  3. Step 3: Cross multiply
    413,744.80x = 621,200.40 × 256,280.80
  4. Step 4: Simplify right side
    413,744.80x = 159,201,735,472.32
  5. Step 5: Solve for x
    x = 159,201,735,472.32/413,744.80
  6. Step 6: Final answer
    x = 384,782.44

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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.