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Finding the Fourth Proportional to 540,286.72, 810,368.64 and 146,272

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Solution

The fourth proportional to 540,286.72, 810,368.64 and 146,272 is: 219,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,286.72 : 810,368.64 = 146,272 : x
  2. Step 2: Convert to fraction form
    540,286.72/810,368.64 = 146,272/x
  3. Step 3: Cross multiply
    540,286.72x = 810,368.64 × 146,272
  4. Step 4: Simplify right side
    540,286.72x = 118,534,241,710.08
  5. Step 5: Solve for x
    x = 118,534,241,710.08/540,286.72
  6. Step 6: Final answer
    x = 219,391.37

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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.