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Finding the Fourth Proportional to 398,222.78, 549,547.19 and 219,374.78

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Solution

The fourth proportional to 398,222.78, 549,547.19 and 219,374.78 is: 302,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,222.78 : 549,547.19 = 219,374.78 : x
  2. Step 2: Convert to fraction form
    398,222.78/549,547.19 = 219,374.78/x
  3. Step 3: Cross multiply
    398,222.78x = 549,547.19 × 219,374.78
  4. Step 4: Simplify right side
    398,222.78x = 120,556,793,905.87
  5. Step 5: Solve for x
    x = 120,556,793,905.87/398,222.78
  6. Step 6: Final answer
    x = 302,737.06

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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.