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Finding the Fourth Proportional to 385,780.06, 578,118.66 and 216,946

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Solution

The fourth proportional to 385,780.06, 578,118.66 and 216,946 is: 325,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,780.06 : 578,118.66 = 216,946 : x
  2. Step 2: Convert to fraction form
    385,780.06/578,118.66 = 216,946/x
  3. Step 3: Cross multiply
    385,780.06x = 578,118.66 × 216,946
  4. Step 4: Simplify right side
    385,780.06x = 125,420,530,812.36
  5. Step 5: Solve for x
    x = 125,420,530,812.36/385,780.06
  6. Step 6: Final answer
    x = 325,108.90

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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.