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Finding the Fourth Proportional to 313,810.30, 470,715.46 and 100,577.80

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Solution

The fourth proportional to 313,810.30, 470,715.46 and 100,577.80 is: 150,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,810.30 : 470,715.46 = 100,577.80 : x
  2. Step 2: Convert to fraction form
    313,810.30/470,715.46 = 100,577.80/x
  3. Step 3: Cross multiply
    313,810.30x = 470,715.46 × 100,577.80
  4. Step 4: Simplify right side
    313,810.30x = 47,343,525,392.79
  5. Step 5: Solve for x
    x = 47,343,525,392.79/313,810.30
  6. Step 6: Final answer
    x = 150,866.70

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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.