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Finding the Fourth Proportional to 470,725.08, 705,690.78 and 204,284.89

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Solution

The fourth proportional to 470,725.08, 705,690.78 and 204,284.89 is: 306,255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,725.08 : 705,690.78 = 204,284.89 : x
  2. Step 2: Convert to fraction form
    470,725.08/705,690.78 = 204,284.89/x
  3. Step 3: Cross multiply
    470,725.08x = 705,690.78 × 204,284.89
  4. Step 4: Simplify right side
    470,725.08x = 144,161,963,366.31
  5. Step 5: Solve for x
    x = 144,161,963,366.31/470,725.08
  6. Step 6: Final answer
    x = 306,255.12

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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.