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Finding the Fourth Proportional to 398,157.17, 549,449.24 and 216,867.02

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Solution

The fourth proportional to 398,157.17, 549,449.24 and 216,867.02 is: 299,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,157.17 : 549,449.24 = 216,867.02 : x
  2. Step 2: Convert to fraction form
    398,157.17/549,449.24 = 216,867.02/x
  3. Step 3: Cross multiply
    398,157.17x = 549,449.24 × 216,867.02
  4. Step 4: Simplify right side
    398,157.17x = 119,157,415,488.48
  5. Step 5: Solve for x
    x = 119,157,415,488.48/398,157.17
  6. Step 6: Final answer
    x = 299,272.31

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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.