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Finding the Fourth Proportional to 369,350.64, 509,673.27 and 208,245.30

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Solution

The fourth proportional to 369,350.64, 509,673.27 and 208,245.30 is: 287,361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,350.64 : 509,673.27 = 208,245.30 : x
  2. Step 2: Convert to fraction form
    369,350.64/509,673.27 = 208,245.30/x
  3. Step 3: Cross multiply
    369,350.64x = 509,673.27 × 208,245.30
  4. Step 4: Simplify right side
    369,350.64x = 106,137,063,013.13
  5. Step 5: Solve for x
    x = 106,137,063,013.13/369,350.64
  6. Step 6: Final answer
    x = 287,361.25

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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.