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Finding the Fourth Proportional to 435,845.64, 654,752.66 and 258,469.01

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Solution

The fourth proportional to 435,845.64, 654,752.66 and 258,469.01 is: 388,287.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,845.64 : 654,752.66 = 258,469.01 : x
  2. Step 2: Convert to fraction form
    435,845.64/654,752.66 = 258,469.01/x
  3. Step 3: Cross multiply
    435,845.64x = 654,752.66 × 258,469.01
  4. Step 4: Simplify right side
    435,845.64x = 169,233,271,825.07
  5. Step 5: Solve for x
    x = 169,233,271,825.07/435,845.64
  6. Step 6: Final answer
    x = 388,287.17

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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.