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Finding the Fourth Proportional to 397,854, 549,039.60 and 219,006

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Solution

The fourth proportional to 397,854, 549,039.60 and 219,006 is: 302,228.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,854 : 549,039.60 = 219,006 : x
  2. Step 2: Convert to fraction form
    397,854/549,039.60 = 219,006/x
  3. Step 3: Cross multiply
    397,854x = 549,039.60 × 219,006
  4. Step 4: Simplify right side
    397,854x = 120,242,966,637.60
  5. Step 5: Solve for x
    x = 120,242,966,637.60/397,854
  6. Step 6: Final answer
    x = 302,228.87

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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.