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Finding the Fourth Proportional to 313,697.13, 470,281.09 and 136,070.34

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Solution

The fourth proportional to 313,697.13, 470,281.09 and 136,070.34 is: 203,990.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,697.13 : 470,281.09 = 136,070.34 : x
  2. Step 2: Convert to fraction form
    313,697.13/470,281.09 = 136,070.34/x
  3. Step 3: Cross multiply
    313,697.13x = 470,281.09 × 136,070.34
  4. Step 4: Simplify right side
    313,697.13x = 63,991,307,811.87
  5. Step 5: Solve for x
    x = 63,991,307,811.87/313,697.13
  6. Step 6: Final answer
    x = 203,990.73

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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.