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Finding the Fourth Proportional to 442,907.76, 663,362.76 and 205,751.40

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Solution

The fourth proportional to 442,907.76, 663,362.76 and 205,751.40 is: 308,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,907.76 : 663,362.76 = 205,751.40 : x
  2. Step 2: Convert to fraction form
    442,907.76/663,362.76 = 205,751.40/x
  3. Step 3: Cross multiply
    442,907.76x = 663,362.76 × 205,751.40
  4. Step 4: Simplify right side
    442,907.76x = 136,487,816,577.86
  5. Step 5: Solve for x
    x = 136,487,816,577.86/442,907.76
  6. Step 6: Final answer
    x = 308,163.07

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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.