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Finding the Fourth Proportional to 268,675.63, 370,775.46 and 153,952

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Solution

The fourth proportional to 268,675.63, 370,775.46 and 153,952 is: 212,455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,675.63 : 370,775.46 = 153,952 : x
  2. Step 2: Convert to fraction form
    268,675.63/370,775.46 = 153,952/x
  3. Step 3: Cross multiply
    268,675.63x = 370,775.46 × 153,952
  4. Step 4: Simplify right side
    268,675.63x = 57,081,623,617.92
  5. Step 5: Solve for x
    x = 57,081,623,617.92/268,675.63
  6. Step 6: Final answer
    x = 212,455.53

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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.