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Finding the Fourth Proportional to 397,860.96, 549,055.11 and 216,578.10

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Solution

The fourth proportional to 397,860.96, 549,055.11 and 216,578.10 is: 298,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,860.96 : 549,055.11 = 216,578.10 : x
  2. Step 2: Convert to fraction form
    397,860.96/549,055.11 = 216,578.10/x
  3. Step 3: Cross multiply
    397,860.96x = 549,055.11 × 216,578.10
  4. Step 4: Simplify right side
    397,860.96x = 118,913,312,519.09
  5. Step 5: Solve for x
    x = 118,913,312,519.09/397,860.96
  6. Step 6: Final answer
    x = 298,881.58

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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.