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Finding the Fourth Proportional to 413,720.80, 621,164.40 and 256,256.80

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Solution

The fourth proportional to 413,720.80, 621,164.40 and 256,256.80 is: 384,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,720.80 : 621,164.40 = 256,256.80 : x
  2. Step 2: Convert to fraction form
    413,720.80/621,164.40 = 256,256.80/x
  3. Step 3: Cross multiply
    413,720.80x = 621,164.40 × 256,256.80
  4. Step 4: Simplify right side
    413,720.80x = 159,177,601,417.92
  5. Step 5: Solve for x
    x = 159,177,601,417.92/413,720.80
  6. Step 6: Final answer
    x = 384,746.43

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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.