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Finding the Fourth Proportional to 398,404.79, 549,784.64 and 217,113.02

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Solution

The fourth proportional to 398,404.79, 549,784.64 and 217,113.02 is: 299,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,404.79 : 549,784.64 = 217,113.02 : x
  2. Step 2: Convert to fraction form
    398,404.79/549,784.64 = 217,113.02/x
  3. Step 3: Cross multiply
    398,404.79x = 549,784.64 × 217,113.02
  4. Step 4: Simplify right side
    398,404.79x = 119,365,403,540.01
  5. Step 5: Solve for x
    x = 119,365,403,540.01/398,404.79
  6. Step 6: Final answer
    x = 299,608.35

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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.