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Finding the Fourth Proportional to 487,907.30, 731,970.30 and 188,361.20

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Solution

The fourth proportional to 487,907.30, 731,970.30 and 188,361.20 is: 282,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,907.30 : 731,970.30 = 188,361.20 : x
  2. Step 2: Convert to fraction form
    487,907.30/731,970.30 = 188,361.20/x
  3. Step 3: Cross multiply
    487,907.30x = 731,970.30 × 188,361.20
  4. Step 4: Simplify right side
    487,907.30x = 137,874,804,072.36
  5. Step 5: Solve for x
    x = 137,874,804,072.36/487,907.30
  6. Step 6: Final answer
    x = 282,584.02

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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.