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Finding the Fourth Proportional to 874,709.20, 1,312,063.80 and 313,670.80

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Solution

The fourth proportional to 874,709.20, 1,312,063.80 and 313,670.80 is: 470,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,709.20 : 1,312,063.80 = 313,670.80 : x
  2. Step 2: Convert to fraction form
    874,709.20/1,312,063.80 = 313,670.80/x
  3. Step 3: Cross multiply
    874,709.20x = 1,312,063.80 × 313,670.80
  4. Step 4: Simplify right side
    874,709.20x = 411,556,101,797.04
  5. Step 5: Solve for x
    x = 411,556,101,797.04/874,709.20
  6. Step 6: Final answer
    x = 470,506.20

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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.