Finding the Fourth Proportional to 365,415,184,378.36, 548,120,565,772.98 and 198,781,646,251.96
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Solution
The fourth proportional to 365,415,184,378.36, 548,120,565,772.98 and 198,781,646,251.96 is: 298,171,266,731.20
Step by Step Solution
- Step 1: Write the proportion equation
365,415,184,378.36 : 548,120,565,772.98 = 198,781,646,251.96 : x - Step 2: Convert to fraction form
365,415,184,378.36/548,120,565,772.98 = 198,781,646,251.96/x - Step 3: Cross multiply
365,415,184,378.36x = 548,120,565,772.98 × 198,781,646,251.96 - Step 4: Simplify right side
365,415,184,378.36x = 108,956,308,408,908,673,712,128 - Step 5: Solve for x
x = 108,956,308,408,908,673,712,128/365,415,184,378.36 - Step 6: Final answer
x = 298,171,266,731.20
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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.