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Finding the Fourth Proportional to 1,314,965.40, 1,972,448.10 and 683,797.20

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Solution

The fourth proportional to 1,314,965.40, 1,972,448.10 and 683,797.20 is: 1,025,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,965.40 : 1,972,448.10 = 683,797.20 : x
  2. Step 2: Convert to fraction form
    1,314,965.40/1,972,448.10 = 683,797.20/x
  3. Step 3: Cross multiply
    1,314,965.40x = 1,972,448.10 × 683,797.20
  4. Step 4: Simplify right side
    1,314,965.40x = 1,348,754,487,925.32
  5. Step 5: Solve for x
    x = 1,348,754,487,925.32/1,314,965.40
  6. Step 6: Final answer
    x = 1,025,695.80

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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.