Finding the Fourth Proportional to 930,164,291,475, 1,395,246,435,637.80 and 223,509,319,539
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Solution
The fourth proportional to 930,164,291,475, 1,395,246,435,637.80 and 223,509,319,539 is: 335,263,978,930.12
Step by Step Solution
- Step 1: Write the proportion equation
930,164,291,475 : 1,395,246,435,637.80 = 223,509,319,539 : x - Step 2: Convert to fraction form
930,164,291,475/1,395,246,435,637.80 = 223,509,319,539/x - Step 3: Cross multiply
930,164,291,475x = 1,395,246,435,637.80 × 223,509,319,539 - Step 4: Simplify right side
930,164,291,475x = 311,850,581,418,619,843,903,488 - Step 5: Solve for x
x = 311,850,581,418,619,843,903,488/930,164,291,475 - Step 6: Final answer
x = 335,263,978,930.12
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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.