Finding the Fourth Proportional to 478,091,924,368.35, 717,263,669,557.50 and 171,812,646,402.44
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Solution
The fourth proportional to 478,091,924,368.35, 717,263,669,557.50 and 171,812,646,402.44 is: 257,764,172,439.88
Step by Step Solution
- Step 1: Write the proportion equation
478,091,924,368.35 : 717,263,669,557.50 = 171,812,646,402.44 : x - Step 2: Convert to fraction form
478,091,924,368.35/717,263,669,557.50 = 171,812,646,402.44/x - Step 3: Cross multiply
478,091,924,368.35x = 717,263,669,557.50 × 171,812,646,402.44 - Step 4: Simplify right side
478,091,924,368.35x = 123,234,969,234,999,309,500,416 - Step 5: Solve for x
x = 123,234,969,234,999,309,500,416/478,091,924,368.35 - Step 6: Final answer
x = 257,764,172,439.88
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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.