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Finding the Fourth Proportional to 313,256.78, 470,275.80 and 311,817.50

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Solution

The fourth proportional to 313,256.78, 470,275.80 and 311,817.50 is: 468,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,256.78 : 470,275.80 = 311,817.50 : x
  2. Step 2: Convert to fraction form
    313,256.78/470,275.80 = 311,817.50/x
  3. Step 3: Cross multiply
    313,256.78x = 470,275.80 × 311,817.50
  4. Step 4: Simplify right side
    313,256.78x = 146,640,224,266.50
  5. Step 5: Solve for x
    x = 146,640,224,266.50/313,256.78
  6. Step 6: Final answer
    x = 468,115.09

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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.