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Finding the Fourth Proportional to 342,810.40, 514,215.60 and 90,090.40

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Solution

The fourth proportional to 342,810.40, 514,215.60 and 90,090.40 is: 135,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,810.40 : 514,215.60 = 90,090.40 : x
  2. Step 2: Convert to fraction form
    342,810.40/514,215.60 = 90,090.40/x
  3. Step 3: Cross multiply
    342,810.40x = 514,215.60 × 90,090.40
  4. Step 4: Simplify right side
    342,810.40x = 46,325,889,090.24
  5. Step 5: Solve for x
    x = 46,325,889,090.24/342,810.40
  6. Step 6: Final answer
    x = 135,135.60

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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.