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Finding the Fourth Proportional to 313,767.60, 470,651.40 and 310,657.20

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Solution

The fourth proportional to 313,767.60, 470,651.40 and 310,657.20 is: 465,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,767.60 : 470,651.40 = 310,657.20 : x
  2. Step 2: Convert to fraction form
    313,767.60/470,651.40 = 310,657.20/x
  3. Step 3: Cross multiply
    313,767.60x = 470,651.40 × 310,657.20
  4. Step 4: Simplify right side
    313,767.60x = 146,211,246,100.08
  5. Step 5: Solve for x
    x = 146,211,246,100.08/313,767.60
  6. Step 6: Final answer
    x = 465,985.80

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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.