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Finding the Fourth Proportional to 305,468.84, 458,264.70 and 105,784.80

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Solution

The fourth proportional to 305,468.84, 458,264.70 and 105,784.80 is: 158,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,468.84 : 458,264.70 = 105,784.80 : x
  2. Step 2: Convert to fraction form
    305,468.84/458,264.70 = 105,784.80/x
  3. Step 3: Cross multiply
    305,468.84x = 458,264.70 × 105,784.80
  4. Step 4: Simplify right side
    305,468.84x = 48,477,439,636.56
  5. Step 5: Solve for x
    x = 48,477,439,636.56/305,468.84
  6. Step 6: Final answer
    x = 158,698.48

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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.