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Finding the Fourth Proportional to 510,138.60, 764,551.80 and 310,246.80

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Solution

The fourth proportional to 510,138.60, 764,551.80 and 310,246.80 is: 464,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,138.60 : 764,551.80 = 310,246.80 : x
  2. Step 2: Convert to fraction form
    510,138.60/764,551.80 = 310,246.80/x
  3. Step 3: Cross multiply
    510,138.60x = 764,551.80 × 310,246.80
  4. Step 4: Simplify right side
    510,138.60x = 237,199,749,384.24
  5. Step 5: Solve for x
    x = 237,199,749,384.24/510,138.60
  6. Step 6: Final answer
    x = 464,971.19

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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.