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Finding the Fourth Proportional to 369,442.80, 509,820.84 and 208,296.42

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Solution

The fourth proportional to 369,442.80, 509,820.84 and 208,296.42 is: 287,443.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,442.80 : 509,820.84 = 208,296.42 : x
  2. Step 2: Convert to fraction form
    369,442.80/509,820.84 = 208,296.42/x
  3. Step 3: Cross multiply
    369,442.80x = 509,820.84 × 208,296.42
  4. Step 4: Simplify right side
    369,442.80x = 106,193,855,813.39
  5. Step 5: Solve for x
    x = 106,193,855,813.39/369,442.80
  6. Step 6: Final answer
    x = 287,443.30

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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.