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Finding the Fourth Proportional to 1,424,470.71, 1,965,768.65 and 779,890.74

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Solution

The fourth proportional to 1,424,470.71, 1,965,768.65 and 779,890.74 is: 1,076,248.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,470.71 : 1,965,768.65 = 779,890.74 : x
  2. Step 2: Convert to fraction form
    1,424,470.71/1,965,768.65 = 779,890.74/x
  3. Step 3: Cross multiply
    1,424,470.71x = 1,965,768.65 × 779,890.74
  4. Step 4: Simplify right side
    1,424,470.71x = 1,533,084,763,217.85
  5. Step 5: Solve for x
    x = 1,533,084,763,217.85/1,424,470.71
  6. Step 6: Final answer
    x = 1,076,248.71

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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.