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Finding the Fourth Proportional to 313,510.08, 470,271.12 and 100,318.56

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Solution

The fourth proportional to 313,510.08, 470,271.12 and 100,318.56 is: 150,479.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,510.08 : 470,271.12 = 100,318.56 : x
  2. Step 2: Convert to fraction form
    313,510.08/470,271.12 = 100,318.56/x
  3. Step 3: Cross multiply
    313,510.08x = 470,271.12 × 100,318.56
  4. Step 4: Simplify right side
    313,510.08x = 47,176,921,567.99
  5. Step 5: Solve for x
    x = 47,176,921,567.99/313,510.08
  6. Step 6: Final answer
    x = 150,479.76

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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.