Finding the Fourth Proportional to 542,987,948,390.16, 749,414,551,772.79 and 314,759,954,315.28
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Solution
The fourth proportional to 542,987,948,390.16, 749,414,551,772.79 and 314,759,954,315.28 is: 434,421,594,030.88
Step by Step Solution
- Step 1: Write the proportion equation
542,987,948,390.16 : 749,414,551,772.79 = 314,759,954,315.28 : x - Step 2: Convert to fraction form
542,987,948,390.16/749,414,551,772.79 = 314,759,954,315.28/x - Step 3: Cross multiply
542,987,948,390.16x = 749,414,551,772.79 × 314,759,954,315.28 - Step 4: Simplify right side
542,987,948,390.16x = 235,885,690,079,209,454,567,424 - Step 5: Solve for x
x = 235,885,690,079,209,454,567,424/542,987,948,390.16 - Step 6: Final answer
x = 434,421,594,030.88
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.