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Finding the Fourth Proportional to 549,980.40, 825,626.70 and 310,285.20

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Solution

The fourth proportional to 549,980.40, 825,626.70 and 310,285.20 is: 465,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,980.40 : 825,626.70 = 310,285.20 : x
  2. Step 2: Convert to fraction form
    549,980.40/825,626.70 = 310,285.20/x
  3. Step 3: Cross multiply
    549,980.40x = 825,626.70 × 310,285.20
  4. Step 4: Simplify right side
    549,980.40x = 256,179,745,734.84
  5. Step 5: Solve for x
    x = 256,179,745,734.84/549,980.40
  6. Step 6: Final answer
    x = 465,797.96

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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.