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Finding the Fourth Proportional to 397,830.69, 549,007.47 and 216,544.59

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Solution

The fourth proportional to 397,830.69, 549,007.47 and 216,544.59 is: 298,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,830.69 : 549,007.47 = 216,544.59 : x
  2. Step 2: Convert to fraction form
    397,830.69/549,007.47 = 216,544.59/x
  3. Step 3: Cross multiply
    397,830.69x = 549,007.47 × 216,544.59
  4. Step 4: Simplify right side
    397,830.69x = 118,884,597,498.09
  5. Step 5: Solve for x
    x = 118,884,597,498.09/397,830.69
  6. Step 6: Final answer
    x = 298,832.14

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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.