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Finding the Fourth Proportional to 313,557.64, 470,367.60 and 100,271.96

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Solution

The fourth proportional to 313,557.64, 470,367.60 and 100,271.96 is: 150,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,557.64 : 470,367.60 = 100,271.96 : x
  2. Step 2: Convert to fraction form
    313,557.64/470,367.60 = 100,271.96/x
  3. Step 3: Cross multiply
    313,557.64x = 470,367.60 × 100,271.96
  4. Step 4: Simplify right side
    313,557.64x = 47,164,681,172.50
  5. Step 5: Solve for x
    x = 47,164,681,172.50/313,557.64
  6. Step 6: Final answer
    x = 150,417.90

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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.