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Finding the Fourth Proportional to 421,533.72, 632,300.58 and 172,215.72

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Solution

The fourth proportional to 421,533.72, 632,300.58 and 172,215.72 is: 258,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,533.72 : 632,300.58 = 172,215.72 : x
  2. Step 2: Convert to fraction form
    421,533.72/632,300.58 = 172,215.72/x
  3. Step 3: Cross multiply
    421,533.72x = 632,300.58 × 172,215.72
  4. Step 4: Simplify right side
    421,533.72x = 108,892,099,641.12
  5. Step 5: Solve for x
    x = 108,892,099,641.12/421,533.72
  6. Step 6: Final answer
    x = 258,323.58

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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.