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Finding the Fourth Proportional to 385,646.78, 578,375.78 and 161,009.07

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Solution

The fourth proportional to 385,646.78, 578,375.78 and 161,009.07 is: 241,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,646.78 : 578,375.78 = 161,009.07 : x
  2. Step 2: Convert to fraction form
    385,646.78/578,375.78 = 161,009.07/x
  3. Step 3: Cross multiply
    385,646.78x = 578,375.78 × 161,009.07
  4. Step 4: Simplify right side
    385,646.78x = 93,123,745,643.28
  5. Step 5: Solve for x
    x = 93,123,745,643.28/385,646.78
  6. Step 6: Final answer
    x = 241,474.20

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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.