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Finding the Fourth Proportional to 421,688.32, 632,618.24 and 172,390.40

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Solution

The fourth proportional to 421,688.32, 632,618.24 and 172,390.40 is: 258,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,688.32 : 632,618.24 = 172,390.40 : x
  2. Step 2: Convert to fraction form
    421,688.32/632,618.24 = 172,390.40/x
  3. Step 3: Cross multiply
    421,688.32x = 632,618.24 × 172,390.40
  4. Step 4: Simplify right side
    421,688.32x = 109,057,311,440.90
  5. Step 5: Solve for x
    x = 109,057,311,440.90/421,688.32
  6. Step 6: Final answer
    x = 258,620.66

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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.