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Finding the Fourth Proportional to 305,088.33, 420,977.57 and 169,122.16

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Solution

The fourth proportional to 305,088.33, 420,977.57 and 169,122.16 is: 233,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,088.33 : 420,977.57 = 169,122.16 : x
  2. Step 2: Convert to fraction form
    305,088.33/420,977.57 = 169,122.16/x
  3. Step 3: Cross multiply
    305,088.33x = 420,977.57 × 169,122.16
  4. Step 4: Simplify right side
    305,088.33x = 71,196,635,630.56
  5. Step 5: Solve for x
    x = 71,196,635,630.56/305,088.33
  6. Step 6: Final answer
    x = 233,364.01

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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.