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Finding the Fourth Proportional to 342,885.42, 514,410.21 and 143,094.66

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Solution

The fourth proportional to 342,885.42, 514,410.21 and 143,094.66 is: 214,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,885.42 : 514,410.21 = 143,094.66 : x
  2. Step 2: Convert to fraction form
    342,885.42/514,410.21 = 143,094.66/x
  3. Step 3: Cross multiply
    342,885.42x = 514,410.21 × 143,094.66
  4. Step 4: Simplify right side
    342,885.42x = 73,609,354,100.48
  5. Step 5: Solve for x
    x = 73,609,354,100.48/342,885.42
  6. Step 6: Final answer
    x = 214,676.24

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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.