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Finding the Fourth Proportional to 415,453.36, 623,733.54 and 280,969.24

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Solution

The fourth proportional to 415,453.36, 623,733.54 and 280,969.24 is: 421,828.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,453.36 : 623,733.54 = 280,969.24 : x
  2. Step 2: Convert to fraction form
    415,453.36/623,733.54 = 280,969.24/x
  3. Step 3: Cross multiply
    415,453.36x = 623,733.54 × 280,969.24
  4. Step 4: Simplify right side
    415,453.36x = 175,249,938,696.31
  5. Step 5: Solve for x
    x = 175,249,938,696.31/415,453.36
  6. Step 6: Final answer
    x = 421,828.19

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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.