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Finding the Fourth Proportional to 284,349.97, 426,853 and 144,403.84

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Solution

The fourth proportional to 284,349.97, 426,853 and 144,403.84 is: 216,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,349.97 : 426,853 = 144,403.84 : x
  2. Step 2: Convert to fraction form
    284,349.97/426,853 = 144,403.84/x
  3. Step 3: Cross multiply
    284,349.97x = 426,853 × 144,403.84
  4. Step 4: Simplify right side
    284,349.97x = 61,639,212,315.52
  5. Step 5: Solve for x
    x = 61,639,212,315.52/284,349.97
  6. Step 6: Final answer
    x = 216,772.35

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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.