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Finding the Fourth Proportional to 284,499.42, 392,620.49 and 163,640.58

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Solution

The fourth proportional to 284,499.42, 392,620.49 and 163,640.58 is: 225,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,499.42 : 392,620.49 = 163,640.58 : x
  2. Step 2: Convert to fraction form
    284,499.42/392,620.49 = 163,640.58/x
  3. Step 3: Cross multiply
    284,499.42x = 392,620.49 × 163,640.58
  4. Step 4: Simplify right side
    284,499.42x = 64,248,644,703.48
  5. Step 5: Solve for x
    x = 64,248,644,703.48/284,499.42
  6. Step 6: Final answer
    x = 225,830.49

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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.