Finding the Fourth Proportional to 1,775,567,420.55, 2,450,183,345.88 and 971,793,281.13
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Solution
The fourth proportional to 1,775,567,420.55, 2,450,183,345.88 and 971,793,281.13 is: 1,341,020,163.75
Step by Step Solution
- Step 1: Write the proportion equation
1,775,567,420.55 : 2,450,183,345.88 = 971,793,281.13 : x - Step 2: Convert to fraction form
1,775,567,420.55/2,450,183,345.88 = 971,793,281.13/x - Step 3: Cross multiply
1,775,567,420.55x = 2,450,183,345.88 × 971,793,281.13 - Step 4: Simplify right side
1,775,567,420.55x = 2,381,071,713,062,807,040 - Step 5: Solve for x
x = 2,381,071,713,062,807,040/1,775,567,420.55 - Step 6: Final answer
x = 1,341,020,163.75
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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.