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Finding the Fourth Proportional to 245,378, 368,153.40 and 120,806.48

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Solution

The fourth proportional to 245,378, 368,153.40 and 120,806.48 is: 181,252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,378 : 368,153.40 = 120,806.48 : x
  2. Step 2: Convert to fraction form
    245,378/368,153.40 = 120,806.48/x
  3. Step 3: Cross multiply
    245,378x = 368,153.40 × 120,806.48
  4. Step 4: Simplify right side
    245,378x = 44,475,316,354.03
  5. Step 5: Solve for x
    x = 44,475,316,354.03/245,378
  6. Step 6: Final answer
    x = 181,252.26

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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.