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Finding the Fourth Proportional to 490,159.20, 735,238.80 and 411,427.20

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Solution

The fourth proportional to 490,159.20, 735,238.80 and 411,427.20 is: 617,140.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,159.20 : 735,238.80 = 411,427.20 : x
  2. Step 2: Convert to fraction form
    490,159.20/735,238.80 = 411,427.20/x
  3. Step 3: Cross multiply
    490,159.20x = 735,238.80 × 411,427.20
  4. Step 4: Simplify right side
    490,159.20x = 302,497,240,815.36
  5. Step 5: Solve for x
    x = 302,497,240,815.36/490,159.20
  6. Step 6: Final answer
    x = 617,140.80

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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.