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Finding the Fourth Proportional to 313,488.59, 470,250.63 and 100,275.21

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Solution

The fourth proportional to 313,488.59, 470,250.63 and 100,275.21 is: 150,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,488.59 : 470,250.63 = 100,275.21 : x
  2. Step 2: Convert to fraction form
    313,488.59/470,250.63 = 100,275.21/x
  3. Step 3: Cross multiply
    313,488.59x = 470,250.63 × 100,275.21
  4. Step 4: Simplify right side
    313,488.59x = 47,154,480,675.88
  5. Step 5: Solve for x
    x = 47,154,480,675.88/313,488.59
  6. Step 6: Final answer
    x = 150,418.49

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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.