Finding the Fourth Proportional to 1,740,729,041.81, 2,402,183,544.53 and 947,765,925.71
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Solution
The fourth proportional to 1,740,729,041.81, 2,402,183,544.53 and 947,765,925.71 is: 1,307,904,708.95
Step by Step Solution
- Step 1: Write the proportion equation
1,740,729,041.81 : 2,402,183,544.53 = 947,765,925.71 : x - Step 2: Convert to fraction form
1,740,729,041.81/2,402,183,544.53 = 947,765,925.71/x - Step 3: Cross multiply
1,740,729,041.81x = 2,402,183,544.53 × 947,765,925.71 - Step 4: Simplify right side
1,740,729,041.81x = 2,276,707,710,790,054,912 - Step 5: Solve for x
x = 2,276,707,710,790,054,912/1,740,729,041.81 - Step 6: Final answer
x = 1,307,904,708.95
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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.