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Finding the Fourth Proportional to 305,360.55, 421,397.19 and 169,415.10

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Solution

The fourth proportional to 305,360.55, 421,397.19 and 169,415.10 is: 233,792.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,360.55 : 421,397.19 = 169,415.10 : x
  2. Step 2: Convert to fraction form
    305,360.55/421,397.19 = 169,415.10/x
  3. Step 3: Cross multiply
    305,360.55x = 421,397.19 × 169,415.10
  4. Step 4: Simplify right side
    305,360.55x = 71,391,047,083.57
  5. Step 5: Solve for x
    x = 71,391,047,083.57/305,360.55
  6. Step 6: Final answer
    x = 233,792.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.