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Finding the Fourth Proportional to 510,147.60, 764,565.30 and 310,255.80

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Solution

The fourth proportional to 510,147.60, 764,565.30 and 310,255.80 is: 464,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,147.60 : 764,565.30 = 310,255.80 : x
  2. Step 2: Convert to fraction form
    510,147.60/764,565.30 = 310,255.80/x
  3. Step 3: Cross multiply
    510,147.60x = 764,565.30 × 310,255.80
  4. Step 4: Simplify right side
    510,147.60x = 237,210,818,803.74
  5. Step 5: Solve for x
    x = 237,210,818,803.74/510,147.60
  6. Step 6: Final answer
    x = 464,984.68

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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.