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Finding the Fourth Proportional to 657,361.30, 986,077.83 and 208,048.64

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Solution

The fourth proportional to 657,361.30, 986,077.83 and 208,048.64 is: 312,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,361.30 : 986,077.83 = 208,048.64 : x
  2. Step 2: Convert to fraction form
    657,361.30/986,077.83 = 208,048.64/x
  3. Step 3: Cross multiply
    657,361.30x = 986,077.83 × 208,048.64
  4. Step 4: Simplify right side
    657,361.30x = 205,152,154,450.97
  5. Step 5: Solve for x
    x = 205,152,154,450.97/657,361.30
  6. Step 6: Final answer
    x = 312,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.