Finding the Fourth Proportional to 1,024,075,518.96, 1,413,224,217.75 and 554,176,839.75
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Solution
The fourth proportional to 1,024,075,518.96, 1,413,224,217.75 and 554,176,839.75 is: 764,764,039.71
Step by Step Solution
- Step 1: Write the proportion equation
1,024,075,518.96 : 1,413,224,217.75 = 554,176,839.75 : x - Step 2: Convert to fraction form
1,024,075,518.96/1,413,224,217.75 = 554,176,839.75/x - Step 3: Cross multiply
1,024,075,518.96x = 1,413,224,217.75 × 554,176,839.75 - Step 4: Simplify right side
1,024,075,518.96x = 783,176,130,850,860,800 - Step 5: Solve for x
x = 783,176,130,850,860,800/1,024,075,518.96 - Step 6: Final answer
x = 764,764,039.71
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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.