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Finding the Fourth Proportional to 365,106.81, 546,328.04 and 215,418.81

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Solution

The fourth proportional to 365,106.81, 546,328.04 and 215,418.81 is: 322,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,106.81 : 546,328.04 = 215,418.81 : x
  2. Step 2: Convert to fraction form
    365,106.81/546,328.04 = 215,418.81/x
  3. Step 3: Cross multiply
    365,106.81x = 546,328.04 × 215,418.81
  4. Step 4: Simplify right side
    365,106.81x = 117,689,335,169.34
  5. Step 5: Solve for x
    x = 117,689,335,169.34/365,106.81
  6. Step 6: Final answer
    x = 322,342.21

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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.