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Finding the Fourth Proportional to 406,455.16, 561,181.86 and 253,725.88

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Solution

The fourth proportional to 406,455.16, 561,181.86 and 253,725.88 is: 350,312.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,455.16 : 561,181.86 = 253,725.88 : x
  2. Step 2: Convert to fraction form
    406,455.16/561,181.86 = 253,725.88/x
  3. Step 3: Cross multiply
    406,455.16x = 561,181.86 × 253,725.88
  4. Step 4: Simplify right side
    406,455.16x = 142,386,361,268.54
  5. Step 5: Solve for x
    x = 142,386,361,268.54/406,455.16
  6. Step 6: Final answer
    x = 350,312.59

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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.