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Finding the Fourth Proportional to 385,415.40, 578,123.10 and 136,122.60

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Solution

The fourth proportional to 385,415.40, 578,123.10 and 136,122.60 is: 204,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,415.40 : 578,123.10 = 136,122.60 : x
  2. Step 2: Convert to fraction form
    385,415.40/578,123.10 = 136,122.60/x
  3. Step 3: Cross multiply
    385,415.40x = 578,123.10 × 136,122.60
  4. Step 4: Simplify right side
    385,415.40x = 78,695,619,492.06
  5. Step 5: Solve for x
    x = 78,695,619,492.06/385,415.40
  6. Step 6: Final answer
    x = 204,183.90

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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.