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Finding the Fourth Proportional to 303,641, 455,739.24 and 153,984.56

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Solution

The fourth proportional to 303,641, 455,739.24 and 153,984.56 is: 231,117.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,641 : 455,739.24 = 153,984.56 : x
  2. Step 2: Convert to fraction form
    303,641/455,739.24 = 153,984.56/x
  3. Step 3: Cross multiply
    303,641x = 455,739.24 × 153,984.56
  4. Step 4: Simplify right side
    303,641x = 70,176,806,346.13
  5. Step 5: Solve for x
    x = 70,176,806,346.13/303,641
  6. Step 6: Final answer
    x = 231,117.69

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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.