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Finding the Fourth Proportional to 313,551.83, 470,256.77 and 144,980.30

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Solution

The fourth proportional to 313,551.83, 470,256.77 and 144,980.30 is: 217,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,551.83 : 470,256.77 = 144,980.30 : x
  2. Step 2: Convert to fraction form
    313,551.83/470,256.77 = 144,980.30/x
  3. Step 3: Cross multiply
    313,551.83x = 470,256.77 × 144,980.30
  4. Step 4: Simplify right side
    313,551.83x = 68,177,964,515.45
  5. Step 5: Solve for x
    x = 68,177,964,515.45/313,551.83
  6. Step 6: Final answer
    x = 217,437.63

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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.