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Finding the Fourth Proportional to 970,712, 1,456,141.62 and 330,816.80

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Solution

The fourth proportional to 970,712, 1,456,141.62 and 330,816.80 is: 496,250.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,712 : 1,456,141.62 = 330,816.80 : x
  2. Step 2: Convert to fraction form
    970,712/1,456,141.62 = 330,816.80/x
  3. Step 3: Cross multiply
    970,712x = 1,456,141.62 × 330,816.80
  4. Step 4: Simplify right side
    970,712x = 481,716,111,075.22
  5. Step 5: Solve for x
    x = 481,716,111,075.22/970,712
  6. Step 6: Final answer
    x = 496,250.29

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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.