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Finding the Fourth Proportional to 305,694.32, 458,393.95 and 128,153.66

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Solution

The fourth proportional to 305,694.32, 458,393.95 and 128,153.66 is: 192,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,694.32 : 458,393.95 = 128,153.66 : x
  2. Step 2: Convert to fraction form
    305,694.32/458,393.95 = 128,153.66/x
  3. Step 3: Cross multiply
    305,694.32x = 458,393.95 × 128,153.66
  4. Step 4: Simplify right side
    305,694.32x = 58,744,860,282.58
  5. Step 5: Solve for x
    x = 58,744,860,282.58/305,694.32
  6. Step 6: Final answer
    x = 192,168.64

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1.5x scale

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.