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Finding the Fourth Proportional to 369,489.36, 509,852 and 208,334.82

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Solution

The fourth proportional to 369,489.36, 509,852 and 208,334.82 is: 287,477.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,489.36 : 509,852 = 208,334.82 : x
  2. Step 2: Convert to fraction form
    369,489.36/509,852 = 208,334.82/x
  3. Step 3: Cross multiply
    369,489.36x = 509,852 × 208,334.82
  4. Step 4: Simplify right side
    369,489.36x = 106,219,924,646.64
  5. Step 5: Solve for x
    x = 106,219,924,646.64/369,489.36
  6. Step 6: Final answer
    x = 287,477.63

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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.