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Finding the Fourth Proportional to 412,510.32, 618,941.93 and 172,680.27

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Solution

The fourth proportional to 412,510.32, 618,941.93 and 172,680.27 is: 259,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,510.32 : 618,941.93 = 172,680.27 : x
  2. Step 2: Convert to fraction form
    412,510.32/618,941.93 = 172,680.27/x
  3. Step 3: Cross multiply
    412,510.32x = 618,941.93 × 172,680.27
  4. Step 4: Simplify right side
    412,510.32x = 106,879,057,204.11
  5. Step 5: Solve for x
    x = 106,879,057,204.11/412,510.32
  6. Step 6: Final answer
    x = 259,094.26

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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.