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Finding the Fourth Proportional to 398,308.60, 549,658.95 and 217,022.02

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Solution

The fourth proportional to 398,308.60, 549,658.95 and 217,022.02 is: 299,486.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,308.60 : 549,658.95 = 217,022.02 : x
  2. Step 2: Convert to fraction form
    398,308.60/549,658.95 = 217,022.02/x
  3. Step 3: Cross multiply
    398,308.60x = 549,658.95 × 217,022.02
  4. Step 4: Simplify right side
    398,308.60x = 119,288,095,640.08
  5. Step 5: Solve for x
    x = 119,288,095,640.08/398,308.60
  6. Step 6: Final answer
    x = 299,486.62

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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.