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Finding the Fourth Proportional to 369,056.88, 509,336.12 and 225,911.52

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Solution

The fourth proportional to 369,056.88, 509,336.12 and 225,911.52 is: 311,780.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,056.88 : 509,336.12 = 225,911.52 : x
  2. Step 2: Convert to fraction form
    369,056.88/509,336.12 = 225,911.52/x
  3. Step 3: Cross multiply
    369,056.88x = 509,336.12 × 225,911.52
  4. Step 4: Simplify right side
    369,056.88x = 115,064,895,930.55
  5. Step 5: Solve for x
    x = 115,064,895,930.55/369,056.88
  6. Step 6: Final answer
    x = 311,780.93

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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.