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Finding the Fourth Proportional to 215,989.95, 323,722.26 and 152,828.28

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Solution

The fourth proportional to 215,989.95, 323,722.26 and 152,828.28 is: 229,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,989.95 : 323,722.26 = 152,828.28 : x
  2. Step 2: Convert to fraction form
    215,989.95/323,722.26 = 152,828.28/x
  3. Step 3: Cross multiply
    215,989.95x = 323,722.26 × 152,828.28
  4. Step 4: Simplify right side
    215,989.95x = 49,473,916,193.51
  5. Step 5: Solve for x
    x = 49,473,916,193.51/215,989.95
  6. Step 6: Final answer
    x = 229,056.57

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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.