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Finding the Fourth Proportional to 369,796.19, 510,310.40 and 208,647.09

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Solution

The fourth proportional to 369,796.19, 510,310.40 and 208,647.09 is: 287,928.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,796.19 : 510,310.40 = 208,647.09 : x
  2. Step 2: Convert to fraction form
    369,796.19/510,310.40 = 208,647.09/x
  3. Step 3: Cross multiply
    369,796.19x = 510,310.40 × 208,647.09
  4. Step 4: Simplify right side
    369,796.19x = 106,474,778,913.50
  5. Step 5: Solve for x
    x = 106,474,778,913.50/369,796.19
  6. Step 6: Final answer
    x = 287,928.28

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1.5x scale

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.