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Finding the Fourth Proportional to 470,730.78, 705,698.10 and 204,291

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Solution

The fourth proportional to 470,730.78, 705,698.10 and 204,291 is: 306,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,730.78 : 705,698.10 = 204,291 : x
  2. Step 2: Convert to fraction form
    470,730.78/705,698.10 = 204,291/x
  3. Step 3: Cross multiply
    470,730.78x = 705,698.10 × 204,291
  4. Step 4: Simplify right side
    470,730.78x = 144,167,770,547.10
  5. Step 5: Solve for x
    x = 144,167,770,547.10/470,730.78
  6. Step 6: Final answer
    x = 306,263.74

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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.