Finding the Fourth Proportional to 315,632,875,664.61, 473,449,304,347.35 and 145,602,158,075.73
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Solution
The fourth proportional to 315,632,875,664.61, 473,449,304,347.35 and 145,602,158,075.73 is: 218,403,232,892.88
Step by Step Solution
- Step 1: Write the proportion equation
315,632,875,664.61 : 473,449,304,347.35 = 145,602,158,075.73 : x - Step 2: Convert to fraction form
315,632,875,664.61/473,449,304,347.35 = 145,602,158,075.73/x - Step 3: Cross multiply
315,632,875,664.61x = 473,449,304,347.35 × 145,602,158,075.73 - Step 4: Simplify right side
315,632,875,664.61x = 68,935,240,452,427,260,887,040 - Step 5: Solve for x
x = 68,935,240,452,427,260,887,040/315,632,875,664.61 - Step 6: Final answer
x = 218,403,232,892.88
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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.