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Finding the Fourth Proportional to 398,016.64, 549,301.76 and 297,239.68

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Solution

The fourth proportional to 398,016.64, 549,301.76 and 297,239.68 is: 410,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,016.64 : 549,301.76 = 297,239.68 : x
  2. Step 2: Convert to fraction form
    398,016.64/549,301.76 = 297,239.68/x
  3. Step 3: Cross multiply
    398,016.64x = 549,301.76 × 297,239.68
  4. Step 4: Simplify right side
    398,016.64x = 163,274,279,365.84
  5. Step 5: Solve for x
    x = 163,274,279,365.84/398,016.64
  6. Step 6: Final answer
    x = 410,219.73

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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.