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Finding the Fourth Proportional to 305,282.71, 421,316 and 169,360.42

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Solution

The fourth proportional to 305,282.71, 421,316 and 169,360.42 is: 233,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,282.71 : 421,316 = 169,360.42 : x
  2. Step 2: Convert to fraction form
    305,282.71/421,316 = 169,360.42/x
  3. Step 3: Cross multiply
    305,282.71x = 421,316 × 169,360.42
  4. Step 4: Simplify right side
    305,282.71x = 71,354,254,712.72
  5. Step 5: Solve for x
    x = 71,354,254,712.72/305,282.71
  6. Step 6: Final answer
    x = 233,731.73

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1.5x scale

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.