Finding the Fourth Proportional to 1,527,946,166.68, 2,291,916,387.21 and 478,764,689.47
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Solution
The fourth proportional to 1,527,946,166.68, 2,291,916,387.21 and 478,764,689.47 is: 718,146,137.17
Step by Step Solution
- Step 1: Write the proportion equation
1,527,946,166.68 : 2,291,916,387.21 = 478,764,689.47 : x - Step 2: Convert to fraction form
1,527,946,166.68/2,291,916,387.21 = 478,764,689.47/x - Step 3: Cross multiply
1,527,946,166.68x = 2,291,916,387.21 × 478,764,689.47 - Step 4: Simplify right side
1,527,946,166.68x = 1,097,288,637,406,298,496 - Step 5: Solve for x
x = 1,097,288,637,406,298,496/1,527,946,166.68 - Step 6: Final answer
x = 718,146,137.17
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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.