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Finding the Fourth Proportional to 510,215.60, 764,667.30 and 310,323.80

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Solution

The fourth proportional to 510,215.60, 764,667.30 and 310,323.80 is: 465,086.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,215.60 : 764,667.30 = 310,323.80 : x
  2. Step 2: Convert to fraction form
    510,215.60/764,667.30 = 310,323.80/x
  3. Step 3: Cross multiply
    510,215.60x = 764,667.30 × 310,323.80
  4. Step 4: Simplify right side
    510,215.60x = 237,294,462,271.74
  5. Step 5: Solve for x
    x = 237,294,462,271.74/510,215.60
  6. Step 6: Final answer
    x = 465,086.65

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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.