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Finding the Fourth Proportional to 642,860.64, 964,355.76 and 169,578.72

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Solution

The fourth proportional to 642,860.64, 964,355.76 and 169,578.72 is: 254,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,860.64 : 964,355.76 = 169,578.72 : x
  2. Step 2: Convert to fraction form
    642,860.64/964,355.76 = 169,578.72/x
  3. Step 3: Cross multiply
    642,860.64x = 964,355.76 × 169,578.72
  4. Step 4: Simplify right side
    642,860.64x = 163,534,215,405.43
  5. Step 5: Solve for x
    x = 163,534,215,405.43/642,860.64
  6. Step 6: Final answer
    x = 254,385.17

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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.