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Finding the Fourth Proportional to 487,608.69, 731,445.84 and 188,091.75

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Solution

The fourth proportional to 487,608.69, 731,445.84 and 188,091.75 is: 282,150.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,608.69 : 731,445.84 = 188,091.75 : x
  2. Step 2: Convert to fraction form
    487,608.69/731,445.84 = 188,091.75/x
  3. Step 3: Cross multiply
    487,608.69x = 731,445.84 × 188,091.75
  4. Step 4: Simplify right side
    487,608.69x = 137,578,928,075.82
  5. Step 5: Solve for x
    x = 137,578,928,075.82/487,608.69
  6. Step 6: Final answer
    x = 282,150.28

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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.