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Finding the Fourth Proportional to 385,647.78, 578,377.27 and 161,010.07

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Solution

The fourth proportional to 385,647.78, 578,377.27 and 161,010.07 is: 241,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,647.78 : 578,377.27 = 161,010.07 : x
  2. Step 2: Convert to fraction form
    385,647.78/578,377.27 = 161,010.07/x
  3. Step 3: Cross multiply
    385,647.78x = 578,377.27 × 161,010.07
  4. Step 4: Simplify right side
    385,647.78x = 93,124,564,729.11
  5. Step 5: Solve for x
    x = 93,124,564,729.11/385,647.78
  6. Step 6: Final answer
    x = 241,475.69

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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.