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Finding the Fourth Proportional to 389,256.80, 583,885.20 and 256,287.20

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Solution

The fourth proportional to 389,256.80, 583,885.20 and 256,287.20 is: 384,430.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,256.80 : 583,885.20 = 256,287.20 : x
  2. Step 2: Convert to fraction form
    389,256.80/583,885.20 = 256,287.20/x
  3. Step 3: Cross multiply
    389,256.80x = 583,885.20 × 256,287.20
  4. Step 4: Simplify right side
    389,256.80x = 149,642,303,029.44
  5. Step 5: Solve for x
    x = 149,642,303,029.44/389,256.80
  6. Step 6: Final answer
    x = 384,430.80

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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.