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Finding the Fourth Proportional to 490,694.60, 736,041.90 and 384,406.40

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Solution

The fourth proportional to 490,694.60, 736,041.90 and 384,406.40 is: 576,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,694.60 : 736,041.90 = 384,406.40 : x
  2. Step 2: Convert to fraction form
    490,694.60/736,041.90 = 384,406.40/x
  3. Step 3: Cross multiply
    490,694.60x = 736,041.90 × 384,406.40
  4. Step 4: Simplify right side
    490,694.60x = 282,939,217,028.16
  5. Step 5: Solve for x
    x = 282,939,217,028.16/490,694.60
  6. Step 6: Final answer
    x = 576,609.60

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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.