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Finding the Fourth Proportional to 602,509.82, 903,134.01 and 203,012.54

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Solution

The fourth proportional to 602,509.82, 903,134.01 and 203,012.54 is: 304,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,509.82 : 903,134.01 = 203,012.54 : x
  2. Step 2: Convert to fraction form
    602,509.82/903,134.01 = 203,012.54/x
  3. Step 3: Cross multiply
    602,509.82x = 903,134.01 × 203,012.54
  4. Step 4: Simplify right side
    602,509.82x = 183,347,529,330.49
  5. Step 5: Solve for x
    x = 183,347,529,330.49/602,509.82
  6. Step 6: Final answer
    x = 304,306.29

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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.