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Finding the Fourth Proportional to 647,674.83, 971,577.06 and 198,390.51

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Solution

The fourth proportional to 647,674.83, 971,577.06 and 198,390.51 is: 297,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,674.83 : 971,577.06 = 198,390.51 : x
  2. Step 2: Convert to fraction form
    647,674.83/971,577.06 = 198,390.51/x
  3. Step 3: Cross multiply
    647,674.83x = 971,577.06 × 198,390.51
  4. Step 4: Simplify right side
    647,674.83x = 192,751,668,437.70
  5. Step 5: Solve for x
    x = 192,751,668,437.70/647,674.83
  6. Step 6: Final answer
    x = 297,605.62

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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.