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Finding the Fourth Proportional to 389,283.84, 537,225.12 and 225,927.90

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Solution

The fourth proportional to 389,283.84, 537,225.12 and 225,927.90 is: 311,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,283.84 : 537,225.12 = 225,927.90 : x
  2. Step 2: Convert to fraction form
    389,283.84/537,225.12 = 225,927.90/x
  3. Step 3: Cross multiply
    389,283.84x = 537,225.12 × 225,927.90
  4. Step 4: Simplify right side
    389,283.84x = 121,374,143,188.85
  5. Step 5: Solve for x
    x = 121,374,143,188.85/389,283.84
  6. Step 6: Final answer
    x = 311,788.29

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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.