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Finding the Fourth Proportional to 398,465.33, 549,866.21 and 217,173.47

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Solution

The fourth proportional to 398,465.33, 549,866.21 and 217,173.47 is: 299,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,465.33 : 549,866.21 = 217,173.47 : x
  2. Step 2: Convert to fraction form
    398,465.33/549,866.21 = 217,173.47/x
  3. Step 3: Cross multiply
    398,465.33x = 549,866.21 × 217,173.47
  4. Step 4: Simplify right side
    398,465.33x = 119,416,349,026.25
  5. Step 5: Solve for x
    x = 119,416,349,026.25/398,465.33
  6. Step 6: Final answer
    x = 299,690.69

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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.