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Finding the Fourth Proportional to 549,636.80, 823,288.80 and 456,324.80

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Solution

The fourth proportional to 549,636.80, 823,288.80 and 456,324.80 is: 683,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,636.80 : 823,288.80 = 456,324.80 : x
  2. Step 2: Convert to fraction form
    549,636.80/823,288.80 = 456,324.80/x
  3. Step 3: Cross multiply
    549,636.80x = 823,288.80 × 456,324.80
  4. Step 4: Simplify right side
    549,636.80x = 375,687,097,002.24
  5. Step 5: Solve for x
    x = 375,687,097,002.24/549,636.80
  6. Step 6: Final answer
    x = 683,518.82

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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.