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Finding the Fourth Proportional to 385,647.28, 578,376.53 and 161,009.57

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Solution

The fourth proportional to 385,647.28, 578,376.53 and 161,009.57 is: 241,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,647.28 : 578,376.53 = 161,009.57 : x
  2. Step 2: Convert to fraction form
    385,647.28/578,376.53 = 161,009.57/x
  3. Step 3: Cross multiply
    385,647.28x = 578,376.53 × 161,009.57
  4. Step 4: Simplify right side
    385,647.28x = 93,124,155,588.34
  5. Step 5: Solve for x
    x = 93,124,155,588.34/385,647.28
  6. Step 6: Final answer
    x = 241,474.95

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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.