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Finding the Fourth Proportional to 531,485.72, 733,422.48 and 302,012.31

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Solution

The fourth proportional to 531,485.72, 733,422.48 and 302,012.31 is: 416,761.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,485.72 : 733,422.48 = 302,012.31 : x
  2. Step 2: Convert to fraction form
    531,485.72/733,422.48 = 302,012.31/x
  3. Step 3: Cross multiply
    531,485.72x = 733,422.48 × 302,012.31
  4. Step 4: Simplify right side
    531,485.72x = 221,502,617,390.73
  5. Step 5: Solve for x
    x = 221,502,617,390.73/531,485.72
  6. Step 6: Final answer
    x = 416,761.19

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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.