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Finding the Fourth Proportional to 282,408.61, 389,712.22 and 153,342.03

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Solution

The fourth proportional to 282,408.61, 389,712.22 and 153,342.03 is: 211,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,408.61 : 389,712.22 = 153,342.03 : x
  2. Step 2: Convert to fraction form
    282,408.61/389,712.22 = 153,342.03/x
  3. Step 3: Cross multiply
    282,408.61x = 389,712.22 × 153,342.03
  4. Step 4: Simplify right side
    282,408.61x = 59,759,262,930.61
  5. Step 5: Solve for x
    x = 59,759,262,930.61/282,408.61
  6. Step 6: Final answer
    x = 211,605.67

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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.