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Finding the Fourth Proportional to 288,455.49, 432,758.06 and 153,408.51

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Solution

The fourth proportional to 288,455.49, 432,758.06 and 153,408.51 is: 230,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,455.49 : 432,758.06 = 153,408.51 : x
  2. Step 2: Convert to fraction form
    288,455.49/432,758.06 = 153,408.51/x
  3. Step 3: Cross multiply
    288,455.49x = 432,758.06 × 153,408.51
  4. Step 4: Simplify right side
    288,455.49x = 66,388,770,938.82
  5. Step 5: Solve for x
    x = 66,388,770,938.82/288,455.49
  6. Step 6: Final answer
    x = 230,152.56

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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.