Finding the Fourth Proportional to 390,794,321,813.68, 586,225,249,729.44 and 107,813,165,147.74
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Solution
The fourth proportional to 390,794,321,813.68, 586,225,249,729.44 and 107,813,165,147.74 is: 161,729,063,435.54
Step by Step Solution
- Step 1: Write the proportion equation
390,794,321,813.68 : 586,225,249,729.44 = 107,813,165,147.74 : x - Step 2: Convert to fraction form
390,794,321,813.68/586,225,249,729.44 = 107,813,165,147.74/x - Step 3: Cross multiply
390,794,321,813.68x = 586,225,249,729.44 × 107,813,165,147.74 - Step 4: Simplify right side
390,794,321,813.68x = 63,202,799,662,855,232,684,032 - Step 5: Solve for x
x = 63,202,799,662,855,232,684,032/390,794,321,813.68 - Step 6: Final answer
x = 161,729,063,435.54
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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.