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Finding the Fourth Proportional to 549,658.20, 824,007.30 and 212,928.60

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Solution

The fourth proportional to 549,658.20, 824,007.30 and 212,928.60 is: 319,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,658.20 : 824,007.30 = 212,928.60 : x
  2. Step 2: Convert to fraction form
    549,658.20/824,007.30 = 212,928.60/x
  3. Step 3: Cross multiply
    549,658.20x = 824,007.30 × 212,928.60
  4. Step 4: Simplify right side
    549,658.20x = 175,454,720,778.78
  5. Step 5: Solve for x
    x = 175,454,720,778.78/549,658.20
  6. Step 6: Final answer
    x = 319,206.96

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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.