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Finding the Fourth Proportional to 385,552.30, 578,353.02 and 119,290.48

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Solution

The fourth proportional to 385,552.30, 578,353.02 and 119,290.48 is: 178,943.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,552.30 : 578,353.02 = 119,290.48 : x
  2. Step 2: Convert to fraction form
    385,552.30/578,353.02 = 119,290.48/x
  3. Step 3: Cross multiply
    385,552.30x = 578,353.02 × 119,290.48
  4. Step 4: Simplify right side
    385,552.30x = 68,992,009,365.25
  5. Step 5: Solve for x
    x = 68,992,009,365.25/385,552.30
  6. Step 6: Final answer
    x = 178,943.32

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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.