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Finding the Fourth Proportional to 490,829.60, 736,244.40 and 434,842.40

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Solution

The fourth proportional to 490,829.60, 736,244.40 and 434,842.40 is: 652,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,829.60 : 736,244.40 = 434,842.40 : x
  2. Step 2: Convert to fraction form
    490,829.60/736,244.40 = 434,842.40/x
  3. Step 3: Cross multiply
    490,829.60x = 736,244.40 × 434,842.40
  4. Step 4: Simplify right side
    490,829.60x = 320,150,281,882.56
  5. Step 5: Solve for x
    x = 320,150,281,882.56/490,829.60
  6. Step 6: Final answer
    x = 652,263.60

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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.