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Finding the Fourth Proportional to 385,646.67, 578,094.39 and 161,071.20

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Solution

The fourth proportional to 385,646.67, 578,094.39 and 161,071.20 is: 241,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,646.67 : 578,094.39 = 161,071.20 : x
  2. Step 2: Convert to fraction form
    385,646.67/578,094.39 = 161,071.20/x
  3. Step 3: Cross multiply
    385,646.67x = 578,094.39 × 161,071.20
  4. Step 4: Simplify right side
    385,646.67x = 93,114,357,110.57
  5. Step 5: Solve for x
    x = 93,114,357,110.57/385,646.67
  6. Step 6: Final answer
    x = 241,449.92

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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.