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Finding the Fourth Proportional to 825,705, 1,238,765.66 and 234,729

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Solution

The fourth proportional to 825,705, 1,238,765.66 and 234,729 is: 352,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,705 : 1,238,765.66 = 234,729 : x
  2. Step 2: Convert to fraction form
    825,705/1,238,765.66 = 234,729/x
  3. Step 3: Cross multiply
    825,705x = 1,238,765.66 × 234,729
  4. Step 4: Simplify right side
    825,705x = 290,774,224,606.14
  5. Step 5: Solve for x
    x = 290,774,224,606.14/825,705
  6. Step 6: Final answer
    x = 352,152.68

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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.