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Finding the Fourth Proportional to 385,358.16, 531,814.92 and 215,582.16

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Solution

The fourth proportional to 385,358.16, 531,814.92 and 215,582.16 is: 297,514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,358.16 : 531,814.92 = 215,582.16 : x
  2. Step 2: Convert to fraction form
    385,358.16/531,814.92 = 215,582.16/x
  3. Step 3: Cross multiply
    385,358.16x = 531,814.92 × 215,582.16
  4. Step 4: Simplify right side
    385,358.16x = 114,649,809,173.83
  5. Step 5: Solve for x
    x = 114,649,809,173.83/385,358.16
  6. Step 6: Final answer
    x = 297,514.94

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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.