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Finding the Fourth Proportional to 256,430.88, 384,607.44 and 90,180

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Solution

The fourth proportional to 256,430.88, 384,607.44 and 90,180 is: 135,256.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430.88 : 384,607.44 = 90,180 : x
  2. Step 2: Convert to fraction form
    256,430.88/384,607.44 = 90,180/x
  3. Step 3: Cross multiply
    256,430.88x = 384,607.44 × 90,180
  4. Step 4: Simplify right side
    256,430.88x = 34,683,898,939.20
  5. Step 5: Solve for x
    x = 34,683,898,939.20/256,430.88
  6. Step 6: Final answer
    x = 135,256.33

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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.