Finding the Fourth Proportional to 568,012,221,901.26, 783,881,506,190.16 and 314,553,128,653.26
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Solution
The fourth proportional to 568,012,221,901.26, 783,881,506,190.16 and 314,553,128,653.26 is: 434,096,962,632.62
Step by Step Solution
- Step 1: Write the proportion equation
568,012,221,901.26 : 783,881,506,190.16 = 314,553,128,653.26 : x - Step 2: Convert to fraction form
568,012,221,901.26/783,881,506,190.16 = 314,553,128,653.26/x - Step 3: Cross multiply
568,012,221,901.26x = 783,881,506,190.16 × 314,553,128,653.26 - Step 4: Simplify right side
568,012,221,901.26x = 246,572,380,265,544,643,772,416 - Step 5: Solve for x
x = 246,572,380,265,544,643,772,416/568,012,221,901.26 - Step 6: Final answer
x = 434,096,962,632.62
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.