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Finding the Fourth Proportional to 290,440.80, 435,661.20 and 264,175.20

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Solution

The fourth proportional to 290,440.80, 435,661.20 and 264,175.20 is: 396,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,440.80 : 435,661.20 = 264,175.20 : x
  2. Step 2: Convert to fraction form
    290,440.80/435,661.20 = 264,175.20/x
  3. Step 3: Cross multiply
    290,440.80x = 435,661.20 × 264,175.20
  4. Step 4: Simplify right side
    290,440.80x = 115,090,884,642.24
  5. Step 5: Solve for x
    x = 115,090,884,642.24/290,440.80
  6. Step 6: Final answer
    x = 396,262.80

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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.