Finding the Fourth Proportional to 1,564,088,689.14, 2,158,464,497.49 and 859,305,805.62
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Solution
The fourth proportional to 1,564,088,689.14, 2,158,464,497.49 and 859,305,805.62 is: 1,185,854,156.99
Step by Step Solution
- Step 1: Write the proportion equation
1,564,088,689.14 : 2,158,464,497.49 = 859,305,805.62 : x - Step 2: Convert to fraction form
1,564,088,689.14/2,158,464,497.49 = 859,305,805.62/x - Step 3: Cross multiply
1,564,088,689.14x = 2,158,464,497.49 × 859,305,805.62 - Step 4: Simplify right side
1,564,088,689.14x = 1,854,781,073,917,812,736 - Step 5: Solve for x
x = 1,854,781,073,917,812,736/1,564,088,689.14 - Step 6: Final answer
x = 1,185,854,156.99
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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.