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Finding the Fourth Proportional to 510,164.60, 764,590.80 and 310,272.80

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Solution

The fourth proportional to 510,164.60, 764,590.80 and 310,272.80 is: 465,010.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,164.60 : 764,590.80 = 310,272.80 : x
  2. Step 2: Convert to fraction form
    510,164.60/764,590.80 = 310,272.80/x
  3. Step 3: Cross multiply
    510,164.60x = 764,590.80 × 310,272.80
  4. Step 4: Simplify right side
    510,164.60x = 237,231,728,370.24
  5. Step 5: Solve for x
    x = 237,231,728,370.24/510,164.60
  6. Step 6: Final answer
    x = 465,010.17

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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.