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Finding the Fourth Proportional to 313,404.60, 470,106.90 and 212,365.20

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Solution

The fourth proportional to 313,404.60, 470,106.90 and 212,365.20 is: 318,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404.60 : 470,106.90 = 212,365.20 : x
  2. Step 2: Convert to fraction form
    313,404.60/470,106.90 = 212,365.20/x
  3. Step 3: Cross multiply
    313,404.60x = 470,106.90 × 212,365.20
  4. Step 4: Simplify right side
    313,404.60x = 99,834,345,839.88
  5. Step 5: Solve for x
    x = 99,834,345,839.88/313,404.60
  6. Step 6: Final answer
    x = 318,547.80

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1.5x scale

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.