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Finding the Fourth Proportional to 343,128.18, 514,725.54 and 106,407.30

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Solution

The fourth proportional to 343,128.18, 514,725.54 and 106,407.30 is: 159,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,128.18 : 514,725.54 = 106,407.30 : x
  2. Step 2: Convert to fraction form
    343,128.18/514,725.54 = 106,407.30/x
  3. Step 3: Cross multiply
    343,128.18x = 514,725.54 × 106,407.30
  4. Step 4: Simplify right side
    343,128.18x = 54,770,556,483.64
  5. Step 5: Solve for x
    x = 54,770,556,483.64/343,128.18
  6. Step 6: Final answer
    x = 159,621.27

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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.