Finding the Fourth Proportional to 1,159,763,192.80, 1,600,473,468.32 and 638,242,424.80
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Solution
The fourth proportional to 1,159,763,192.80, 1,600,473,468.32 and 638,242,424.80 is: 880,774,690.55
Step by Step Solution
- Step 1: Write the proportion equation
1,159,763,192.80 : 1,600,473,468.32 = 638,242,424.80 : x - Step 2: Convert to fraction form
1,159,763,192.80/1,600,473,468.32 = 638,242,424.80/x - Step 3: Cross multiply
1,159,763,192.80x = 1,600,473,468.32 × 638,242,424.80 - Step 4: Simplify right side
1,159,763,192.80x = 1,021,490,067,248,622,720 - Step 5: Solve for x
x = 1,021,490,067,248,622,720/1,159,763,192.80 - Step 6: Final answer
x = 880,774,690.55
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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.