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Finding the Fourth Proportional to 385,485.34, 577,916.35 and 161,017.74

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Solution

The fourth proportional to 385,485.34, 577,916.35 and 161,017.74 is: 241,396.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,485.34 : 577,916.35 = 161,017.74 : x
  2. Step 2: Convert to fraction form
    385,485.34/577,916.35 = 161,017.74/x
  3. Step 3: Cross multiply
    385,485.34x = 577,916.35 × 161,017.74
  4. Step 4: Simplify right side
    385,485.34x = 93,054,784,586.05
  5. Step 5: Solve for x
    x = 93,054,784,586.05/385,485.34
  6. Step 6: Final answer
    x = 241,396.43

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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.