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Finding the Fourth Proportional to 313,390.35, 470,152.97 and 97,244.78

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Solution

The fourth proportional to 313,390.35, 470,152.97 and 97,244.78 is: 145,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,390.35 : 470,152.97 = 97,244.78 : x
  2. Step 2: Convert to fraction form
    313,390.35/470,152.97 = 97,244.78/x
  3. Step 3: Cross multiply
    313,390.35x = 470,152.97 × 97,244.78
  4. Step 4: Simplify right side
    313,390.35x = 45,719,922,134.00
  5. Step 5: Solve for x
    x = 45,719,922,134.00/313,390.35
  6. Step 6: Final answer
    x = 145,888.10

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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.