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Finding the Fourth Proportional to 549,511.82, 824,030.12 and 189,720.62

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Solution

The fourth proportional to 549,511.82, 824,030.12 and 189,720.62 is: 284,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,511.82 : 824,030.12 = 189,720.62 : x
  2. Step 2: Convert to fraction form
    549,511.82/824,030.12 = 189,720.62/x
  3. Step 3: Cross multiply
    549,511.82x = 824,030.12 × 189,720.62
  4. Step 4: Simplify right side
    549,511.82x = 156,335,505,265.07
  5. Step 5: Solve for x
    x = 156,335,505,265.07/549,511.82
  6. Step 6: Final answer
    x = 284,498.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.