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Finding the Fourth Proportional to 509,160.76, 702,645.78 and 318,286.60

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Solution

The fourth proportional to 509,160.76, 702,645.78 and 318,286.60 is: 439,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,160.76 : 702,645.78 = 318,286.60 : x
  2. Step 2: Convert to fraction form
    509,160.76/702,645.78 = 318,286.60/x
  3. Step 3: Cross multiply
    509,160.76x = 702,645.78 × 318,286.60
  4. Step 4: Simplify right side
    509,160.76x = 223,642,736,320.55
  5. Step 5: Solve for x
    x = 223,642,736,320.55/509,160.76
  6. Step 6: Final answer
    x = 439,237.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.