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Finding the Fourth Proportional to 402,843.60, 555,880.59 and 233,046

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Solution

The fourth proportional to 402,843.60, 555,880.59 and 233,046 is: 321,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,843.60 : 555,880.59 = 233,046 : x
  2. Step 2: Convert to fraction form
    402,843.60/555,880.59 = 233,046/x
  3. Step 3: Cross multiply
    402,843.60x = 555,880.59 × 233,046
  4. Step 4: Simplify right side
    402,843.60x = 129,545,747,977.14
  5. Step 5: Solve for x
    x = 129,545,747,977.14/402,843.60
  6. Step 6: Final answer
    x = 321,578.27

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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.