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Finding the Fourth Proportional to 1,380,428.46, 1,904,698.44 and 870,835.50

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Solution

The fourth proportional to 1,380,428.46, 1,904,698.44 and 870,835.50 is: 1,201,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,428.46 : 1,904,698.44 = 870,835.50 : x
  2. Step 2: Convert to fraction form
    1,380,428.46/1,904,698.44 = 870,835.50/x
  3. Step 3: Cross multiply
    1,380,428.46x = 1,904,698.44 × 870,835.50
  4. Step 4: Simplify right side
    1,380,428.46x = 1,658,679,018,346.62
  5. Step 5: Solve for x
    x = 1,658,679,018,346.62/1,380,428.46
  6. Step 6: Final answer
    x = 1,201,568.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.