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Finding the Fourth Proportional to 493,387.53, 680,880.47 and 289,441.92

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Solution

The fourth proportional to 493,387.53, 680,880.47 and 289,441.92 is: 399,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,387.53 : 680,880.47 = 289,441.92 : x
  2. Step 2: Convert to fraction form
    493,387.53/680,880.47 = 289,441.92/x
  3. Step 3: Cross multiply
    493,387.53x = 680,880.47 × 289,441.92
  4. Step 4: Simplify right side
    493,387.53x = 197,075,354,075.56
  5. Step 5: Solve for x
    x = 197,075,354,075.56/493,387.53
  6. Step 6: Final answer
    x = 399,433.19

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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.