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Finding the Fourth Proportional to 284,146.95, 426,290.59 and 84,466.49

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Solution

The fourth proportional to 284,146.95, 426,290.59 and 84,466.49 is: 126,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,146.95 : 426,290.59 = 84,466.49 : x
  2. Step 2: Convert to fraction form
    284,146.95/426,290.59 = 84,466.49/x
  3. Step 3: Cross multiply
    284,146.95x = 426,290.59 × 84,466.49
  4. Step 4: Simplify right side
    284,146.95x = 36,007,267,831.46
  5. Step 5: Solve for x
    x = 36,007,267,831.46/284,146.95
  6. Step 6: Final answer
    x = 126,720.58

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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.