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Finding the Fourth Proportional to 549,863.20, 824,007.60 and 312,704.80

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Solution

The fourth proportional to 549,863.20, 824,007.60 and 312,704.80 is: 468,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,863.20 : 824,007.60 = 312,704.80 : x
  2. Step 2: Convert to fraction form
    549,863.20/824,007.60 = 312,704.80/x
  3. Step 3: Cross multiply
    549,863.20x = 824,007.60 × 312,704.80
  4. Step 4: Simplify right side
    549,863.20x = 257,671,131,756.48
  5. Step 5: Solve for x
    x = 257,671,131,756.48/549,863.20
  6. Step 6: Final answer
    x = 468,609.52

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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.