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Finding the Fourth Proportional to 385,429.86, 531,878.40 and 215,664.12

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Solution

The fourth proportional to 385,429.86, 531,878.40 and 215,664.12 is: 297,608.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,429.86 : 531,878.40 = 215,664.12 : x
  2. Step 2: Convert to fraction form
    385,429.86/531,878.40 = 215,664.12/x
  3. Step 3: Cross multiply
    385,429.86x = 531,878.40 × 215,664.12
  4. Step 4: Simplify right side
    385,429.86x = 114,707,087,083.01
  5. Step 5: Solve for x
    x = 114,707,087,083.01/385,429.86
  6. Step 6: Final answer
    x = 297,608.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.