Finding the Fourth Proportional to 1,547,439,307.66, 2,135,457,148.80 and 842,589,601.44
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Solution
The fourth proportional to 1,547,439,307.66, 2,135,457,148.80 and 842,589,601.44 is: 1,162,768,697.29
Step by Step Solution
- Step 1: Write the proportion equation
1,547,439,307.66 : 2,135,457,148.80 = 842,589,601.44 : x - Step 2: Convert to fraction form
1,547,439,307.66/2,135,457,148.80 = 842,589,601.44/x - Step 3: Cross multiply
1,547,439,307.66x = 2,135,457,148.80 × 842,589,601.44 - Step 4: Simplify right side
1,547,439,307.66x = 1,799,313,987,899,590,912 - Step 5: Solve for x
x = 1,799,313,987,899,590,912/1,547,439,307.66 - Step 6: Final answer
x = 1,162,768,697.29
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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.