Finding the Fourth Proportional to 1,547,439,304.41, 2,135,457,144.32 and 842,589,598.19
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Solution
The fourth proportional to 1,547,439,304.41, 2,135,457,144.32 and 842,589,598.19 is: 1,162,768,692.80
Step by Step Solution
- Step 1: Write the proportion equation
1,547,439,304.41 : 2,135,457,144.32 = 842,589,598.19 : x - Step 2: Convert to fraction form
1,547,439,304.41/2,135,457,144.32 = 842,589,598.19/x - Step 3: Cross multiply
1,547,439,304.41x = 2,135,457,144.32 × 842,589,598.19 - Step 4: Simplify right side
1,547,439,304.41x = 1,799,313,977,169,663,232 - Step 5: Solve for x
x = 1,799,313,977,169,663,232/1,547,439,304.41 - Step 6: Final answer
x = 1,162,768,692.80
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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.