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Finding the Fourth Proportional to 342,869.40, 514,386.22 and 143,078.66

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Solution

The fourth proportional to 342,869.40, 514,386.22 and 143,078.66 is: 214,652.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,869.40 : 514,386.22 = 143,078.66 : x
  2. Step 2: Convert to fraction form
    342,869.40/514,386.22 = 143,078.66/x
  3. Step 3: Cross multiply
    342,869.40x = 514,386.22 × 143,078.66
  4. Step 4: Simplify right side
    342,869.40x = 73,597,691,080.07
  5. Step 5: Solve for x
    x = 73,597,691,080.07/342,869.40
  6. Step 6: Final answer
    x = 214,652.26

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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.