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Finding the Fourth Proportional to 417,664.40, 626,496.60 and 240,717.20

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Solution

The fourth proportional to 417,664.40, 626,496.60 and 240,717.20 is: 361,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,664.40 : 626,496.60 = 240,717.20 : x
  2. Step 2: Convert to fraction form
    417,664.40/626,496.60 = 240,717.20/x
  3. Step 3: Cross multiply
    417,664.40x = 626,496.60 × 240,717.20
  4. Step 4: Simplify right side
    417,664.40x = 150,808,507,361.52
  5. Step 5: Solve for x
    x = 150,808,507,361.52/417,664.40
  6. Step 6: Final answer
    x = 361,075.80

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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.