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Finding the Fourth Proportional to 391,313.60, 586,970.40 and 202,356.80

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Solution

The fourth proportional to 391,313.60, 586,970.40 and 202,356.80 is: 303,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,313.60 : 586,970.40 = 202,356.80 : x
  2. Step 2: Convert to fraction form
    391,313.60/586,970.40 = 202,356.80/x
  3. Step 3: Cross multiply
    391,313.60x = 586,970.40 × 202,356.80
  4. Step 4: Simplify right side
    391,313.60x = 118,777,451,838.72
  5. Step 5: Solve for x
    x = 118,777,451,838.72/391,313.60
  6. Step 6: Final answer
    x = 303,535.20

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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.