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Finding the Fourth Proportional to 442,075.73, 663,242.96 and 142,550.24

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Solution

The fourth proportional to 442,075.73, 663,242.96 and 142,550.24 is: 213,867.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,075.73 : 663,242.96 = 142,550.24 : x
  2. Step 2: Convert to fraction form
    442,075.73/663,242.96 = 142,550.24/x
  3. Step 3: Cross multiply
    442,075.73x = 663,242.96 × 142,550.24
  4. Step 4: Simplify right side
    442,075.73x = 94,545,440,166.47
  5. Step 5: Solve for x
    x = 94,545,440,166.47/442,075.73
  6. Step 6: Final answer
    x = 213,867.07

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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.