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Finding the Fourth Proportional to 549,309.09, 824,410.61 and 283,145.73

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Solution

The fourth proportional to 549,309.09, 824,410.61 and 283,145.73 is: 424,948.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,309.09 : 824,410.61 = 283,145.73 : x
  2. Step 2: Convert to fraction form
    549,309.09/824,410.61 = 283,145.73/x
  3. Step 3: Cross multiply
    549,309.09x = 824,410.61 × 283,145.73
  4. Step 4: Simplify right side
    549,309.09x = 233,428,340,542.72
  5. Step 5: Solve for x
    x = 233,428,340,542.72/549,309.09
  6. Step 6: Final answer
    x = 424,948.98

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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.