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Finding the Fourth Proportional to 284,108.75, 392,078.35 and 155,055.55

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Solution

The fourth proportional to 284,108.75, 392,078.35 and 155,055.55 is: 213,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,108.75 : 392,078.35 = 155,055.55 : x
  2. Step 2: Convert to fraction form
    284,108.75/392,078.35 = 155,055.55/x
  3. Step 3: Cross multiply
    284,108.75x = 392,078.35 × 155,055.55
  4. Step 4: Simplify right side
    284,108.75x = 60,793,922,241.95
  5. Step 5: Solve for x
    x = 60,793,922,241.95/284,108.75
  6. Step 6: Final answer
    x = 213,981.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.