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Finding the Fourth Proportional to 402,941.81, 556,100.43 and 230,882.59

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Solution

The fourth proportional to 402,941.81, 556,100.43 and 230,882.59 is: 318,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,941.81 : 556,100.43 = 230,882.59 : x
  2. Step 2: Convert to fraction form
    402,941.81/556,100.43 = 230,882.59/x
  3. Step 3: Cross multiply
    402,941.81x = 556,100.43 × 230,882.59
  4. Step 4: Simplify right side
    402,941.81x = 128,393,907,578.51
  5. Step 5: Solve for x
    x = 128,393,907,578.51/402,941.81
  6. Step 6: Final answer
    x = 318,641.31

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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.