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Finding the Fourth Proportional to 383,618,412.80, 575,427,619.20 and 266,717,139.20

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Solution

The fourth proportional to 383,618,412.80, 575,427,619.20 and 266,717,139.20 is: 400,075,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618,412.80 : 575,427,619.20 = 266,717,139.20 : x
  2. Step 2: Convert to fraction form
    383,618,412.80/575,427,619.20 = 266,717,139.20/x
  3. Step 3: Cross multiply
    383,618,412.80x = 575,427,619.20 × 266,717,139.20
  4. Step 4: Simplify right side
    383,618,412.80x = 153,476,408,409,691,008
  5. Step 5: Solve for x
    x = 153,476,408,409,691,008/383,618,412.80
  6. Step 6: Final answer
    x = 400,075,708.80

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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.