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Finding the Fourth Proportional to 385,441.40, 578,120.54 and 101,160.45

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Solution

The fourth proportional to 385,441.40, 578,120.54 and 101,160.45 is: 151,729.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,441.40 : 578,120.54 = 101,160.45 : x
  2. Step 2: Convert to fraction form
    385,441.40/578,120.54 = 101,160.45/x
  3. Step 3: Cross multiply
    385,441.40x = 578,120.54 × 101,160.45
  4. Step 4: Simplify right side
    385,441.40x = 58,482,933,474.84
  5. Step 5: Solve for x
    x = 58,482,933,474.84/385,441.40
  6. Step 6: Final answer
    x = 151,729.77

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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.