Finding the Fourth Proportional to 1,029,468,851.68, 1,544,408,767.98 and 538,403,195.92
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Solution
The fourth proportional to 1,029,468,851.68, 1,544,408,767.98 and 538,403,195.92 is: 807,712,263.59
Step by Step Solution
- Step 1: Write the proportion equation
1,029,468,851.68 : 1,544,408,767.98 = 538,403,195.92 : x - Step 2: Convert to fraction form
1,029,468,851.68/1,544,408,767.98 = 538,403,195.92/x - Step 3: Cross multiply
1,029,468,851.68x = 1,544,408,767.98 × 538,403,195.92 - Step 4: Simplify right side
1,029,468,851.68x = 831,514,616,487,301,760 - Step 5: Solve for x
x = 831,514,616,487,301,760/1,029,468,851.68 - Step 6: Final answer
x = 807,712,263.59
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1.5x scale
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.