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Finding the Fourth Proportional to 421,574.74, 632,363.19 and 172,256.74

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Solution

The fourth proportional to 421,574.74, 632,363.19 and 172,256.74 is: 258,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,574.74 : 632,363.19 = 172,256.74 : x
  2. Step 2: Convert to fraction form
    421,574.74/632,363.19 = 172,256.74/x
  3. Step 3: Cross multiply
    421,574.74x = 632,363.19 × 172,256.74
  4. Step 4: Simplify right side
    421,574.74x = 108,928,821,605.40
  5. Step 5: Solve for x
    x = 108,928,821,605.40/421,574.74
  6. Step 6: Final answer
    x = 258,385.55

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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.