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Finding the Fourth Proportional to 385,710.80, 578,653.44 and 208,214

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Solution

The fourth proportional to 385,710.80, 578,653.44 and 208,214 is: 312,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,710.80 : 578,653.44 = 208,214 : x
  2. Step 2: Convert to fraction form
    385,710.80/578,653.44 = 208,214/x
  3. Step 3: Cross multiply
    385,710.80x = 578,653.44 × 208,214
  4. Step 4: Simplify right side
    385,710.80x = 120,483,747,356.16
  5. Step 5: Solve for x
    x = 120,483,747,356.16/385,710.80
  6. Step 6: Final answer
    x = 312,368.09

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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.