Finding the Fourth Proportional to 1,026,249,172.48, 1,416,169,313.70 and 580,185,866.44
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Solution
The fourth proportional to 1,026,249,172.48, 1,416,169,313.70 and 580,185,866.44 is: 800,625,659.27
Step by Step Solution
- Step 1: Write the proportion equation
1,026,249,172.48 : 1,416,169,313.70 = 580,185,866.44 : x - Step 2: Convert to fraction form
1,026,249,172.48/1,416,169,313.70 = 580,185,866.44/x - Step 3: Cross multiply
1,026,249,172.48x = 1,416,169,313.70 × 580,185,866.44 - Step 4: Simplify right side
1,026,249,172.48x = 821,641,420,294,774,784 - Step 5: Solve for x
x = 821,641,420,294,774,784/1,026,249,172.48 - Step 6: Final answer
x = 800,625,659.27
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1.5x scale
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.