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Finding the Fourth Proportional to 268,658.64, 370,741.20 and 146,147.20

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Solution

The fourth proportional to 268,658.64, 370,741.20 and 146,147.20 is: 201,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,658.64 : 370,741.20 = 146,147.20 : x
  2. Step 2: Convert to fraction form
    268,658.64/370,741.20 = 146,147.20/x
  3. Step 3: Cross multiply
    268,658.64x = 370,741.20 × 146,147.20
  4. Step 4: Simplify right side
    268,658.64x = 54,182,788,304.64
  5. Step 5: Solve for x
    x = 54,182,788,304.64/268,658.64
  6. Step 6: Final answer
    x = 201,678.93

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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.