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Finding the Fourth Proportional to 385,706.80, 578,647.44 and 208,210

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Solution

The fourth proportional to 385,706.80, 578,647.44 and 208,210 is: 312,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,706.80 : 578,647.44 = 208,210 : x
  2. Step 2: Convert to fraction form
    385,706.80/578,647.44 = 208,210/x
  3. Step 3: Cross multiply
    385,706.80x = 578,647.44 × 208,210
  4. Step 4: Simplify right side
    385,706.80x = 120,480,183,482.40
  5. Step 5: Solve for x
    x = 120,480,183,482.40/385,706.80
  6. Step 6: Final answer
    x = 312,362.09

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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.