Finding the Fourth Proportional to 1,566,269,006.40, 2,349,403,509.60 and 1,311,465,038.40
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Solution
The fourth proportional to 1,566,269,006.40, 2,349,403,509.60 and 1,311,465,038.40 is: 1,967,197,557.60
Step by Step Solution
- Step 1: Write the proportion equation
1,566,269,006.40 : 2,349,403,509.60 = 1,311,465,038.40 : x - Step 2: Convert to fraction form
1,566,269,006.40/2,349,403,509.60 = 1,311,465,038.40/x - Step 3: Cross multiply
1,566,269,006.40x = 2,349,403,509.60 × 1,311,465,038.40 - Step 4: Simplify right side
1,566,269,006.40x = 3,081,160,563,934,659,072 - Step 5: Solve for x
x = 3,081,160,563,934,659,072/1,566,269,006.40 - Step 6: Final answer
x = 1,967,197,557.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.