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Finding the Fourth Proportional to 342,814.40, 514,221.60 and 90,094.40

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Solution

The fourth proportional to 342,814.40, 514,221.60 and 90,094.40 is: 135,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,814.40 : 514,221.60 = 90,094.40 : x
  2. Step 2: Convert to fraction form
    342,814.40/514,221.60 = 90,094.40/x
  3. Step 3: Cross multiply
    342,814.40x = 514,221.60 × 90,094.40
  4. Step 4: Simplify right side
    342,814.40x = 46,328,486,519.04
  5. Step 5: Solve for x
    x = 46,328,486,519.04/342,814.40
  6. Step 6: Final answer
    x = 135,141.60

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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.