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Finding the Fourth Proportional to 369,770.43, 510,272.84 and 208,640.47

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Solution

The fourth proportional to 369,770.43, 510,272.84 and 208,640.47 is: 287,918.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,770.43 : 510,272.84 = 208,640.47 : x
  2. Step 2: Convert to fraction form
    369,770.43/510,272.84 = 208,640.47/x
  3. Step 3: Cross multiply
    369,770.43x = 510,272.84 × 208,640.47
  4. Step 4: Simplify right side
    369,770.43x = 106,463,565,165.84
  5. Step 5: Solve for x
    x = 106,463,565,165.84/369,770.43
  6. Step 6: Final answer
    x = 287,918.01

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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.