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Finding the Fourth Proportional to 1,410,838.84, 1,946,971.65 and 766,271.62

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Solution

The fourth proportional to 1,410,838.84, 1,946,971.65 and 766,271.62 is: 1,057,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,838.84 : 1,946,971.65 = 766,271.62 : x
  2. Step 2: Convert to fraction form
    1,410,838.84/1,946,971.65 = 766,271.62/x
  3. Step 3: Cross multiply
    1,410,838.84x = 1,946,971.65 × 766,271.62
  4. Step 4: Simplify right side
    1,410,838.84x = 1,491,909,120,339.57
  5. Step 5: Solve for x
    x = 1,491,909,120,339.57/1,410,838.84
  6. Step 6: Final answer
    x = 1,057,462.47

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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.