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Finding the Fourth Proportional to 1,166,428, 1,749,642 and 279,964

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Solution

The fourth proportional to 1,166,428, 1,749,642 and 279,964 is: 419,946

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166,428 : 1,749,642 = 279,964 : x
  2. Step 2: Convert to fraction form
    1,166,428/1,749,642 = 279,964/x
  3. Step 3: Cross multiply
    1,166,428x = 1,749,642 × 279,964
  4. Step 4: Simplify right side
    1,166,428x = 489,836,772,888
  5. Step 5: Solve for x
    x = 489,836,772,888/1,166,428
  6. Step 6: Final answer
    x = 419,946

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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.