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Finding the Fourth Proportional to 269,657,814.40, 404,486,721.60 and 266,970,428.80

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Solution

The fourth proportional to 269,657,814.40, 404,486,721.60 and 266,970,428.80 is: 400,455,643.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,657,814.40 : 404,486,721.60 = 266,970,428.80 : x
  2. Step 2: Convert to fraction form
    269,657,814.40/404,486,721.60 = 266,970,428.80/x
  3. Step 3: Cross multiply
    269,657,814.40x = 404,486,721.60 × 266,970,428.80
  4. Step 4: Simplify right side
    269,657,814.40x = 107,985,993,509,458,240
  5. Step 5: Solve for x
    x = 107,985,993,509,458,240/269,657,814.40
  6. Step 6: Final answer
    x = 400,455,643.20

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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.