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Finding the Fourth Proportional to 406,459.30, 561,007.14 and 270,498.96

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Solution

The fourth proportional to 406,459.30, 561,007.14 and 270,498.96 is: 373,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,459.30 : 561,007.14 = 270,498.96 : x
  2. Step 2: Convert to fraction form
    406,459.30/561,007.14 = 270,498.96/x
  3. Step 3: Cross multiply
    406,459.30x = 561,007.14 × 270,498.96
  4. Step 4: Simplify right side
    406,459.30x = 151,751,847,922.57
  5. Step 5: Solve for x
    x = 151,751,847,922.57/406,459.30
  6. Step 6: Final answer
    x = 373,350.66

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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.