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Finding the Fourth Proportional to 385,474.16, 578,186.61 and 119,212.38

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Solution

The fourth proportional to 385,474.16, 578,186.61 and 119,212.38 is: 178,810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,474.16 : 578,186.61 = 119,212.38 : x
  2. Step 2: Convert to fraction form
    385,474.16/578,186.61 = 119,212.38/x
  3. Step 3: Cross multiply
    385,474.16x = 578,186.61 × 119,212.38
  4. Step 4: Simplify right side
    385,474.16x = 68,927,001,862.23
  5. Step 5: Solve for x
    x = 68,927,001,862.23/385,474.16
  6. Step 6: Final answer
    x = 178,810.96

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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.