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Finding the Fourth Proportional to 284,093.78, 392,036.10 and 163,149.80

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Solution

The fourth proportional to 284,093.78, 392,036.10 and 163,149.80 is: 225,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,093.78 : 392,036.10 = 163,149.80 : x
  2. Step 2: Convert to fraction form
    284,093.78/392,036.10 = 163,149.80/x
  3. Step 3: Cross multiply
    284,093.78x = 392,036.10 × 163,149.80
  4. Step 4: Simplify right side
    284,093.78x = 63,960,611,307.78
  5. Step 5: Solve for x
    x = 63,960,611,307.78/284,093.78
  6. Step 6: Final answer
    x = 225,139.08

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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.