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Finding the Fourth Proportional to 549,311.60, 824,581.80 and 513,215.60

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Solution

The fourth proportional to 549,311.60, 824,581.80 and 513,215.60 is: 770,397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,311.60 : 824,581.80 = 513,215.60 : x
  2. Step 2: Convert to fraction form
    549,311.60/824,581.80 = 513,215.60/x
  3. Step 3: Cross multiply
    549,311.60x = 824,581.80 × 513,215.60
  4. Step 4: Simplify right side
    549,311.60x = 423,188,243,236.08
  5. Step 5: Solve for x
    x = 423,188,243,236.08/549,311.60
  6. Step 6: Final answer
    x = 770,397.43

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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.