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Finding the Fourth Proportional to 1,219,770, 1,683,282.72 and 742,842

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Solution

The fourth proportional to 1,219,770, 1,683,282.72 and 742,842 is: 1,025,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219,770 : 1,683,282.72 = 742,842 : x
  2. Step 2: Convert to fraction form
    1,219,770/1,683,282.72 = 742,842/x
  3. Step 3: Cross multiply
    1,219,770x = 1,683,282.72 × 742,842
  4. Step 4: Simplify right side
    1,219,770x = 1,250,413,102,290.24
  5. Step 5: Solve for x
    x = 1,250,413,102,290.24/1,219,770
  6. Step 6: Final answer
    x = 1,025,122.03

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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.