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Finding the Fourth Proportional to 1,314,971.80, 1,972,457.70 and 867,074.20

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Solution

The fourth proportional to 1,314,971.80, 1,972,457.70 and 867,074.20 is: 1,300,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,971.80 : 1,972,457.70 = 867,074.20 : x
  2. Step 2: Convert to fraction form
    1,314,971.80/1,972,457.70 = 867,074.20/x
  3. Step 3: Cross multiply
    1,314,971.80x = 1,972,457.70 × 867,074.20
  4. Step 4: Simplify right side
    1,314,971.80x = 1,710,267,182,261.34
  5. Step 5: Solve for x
    x = 1,710,267,182,261.34/1,314,971.80
  6. Step 6: Final answer
    x = 1,300,611.30

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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.