Finding the Fourth Proportional to 740,513,214.79, 1,021,902,574.26 and 405,981,734.11
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Solution
The fourth proportional to 740,513,214.79, 1,021,902,574.26 and 405,981,734.11 is: 560,251,688.83
Step by Step Solution
- Step 1: Write the proportion equation
740,513,214.79 : 1,021,902,574.26 = 405,981,734.11 : x - Step 2: Convert to fraction form
740,513,214.79/1,021,902,574.26 = 405,981,734.11/x - Step 3: Cross multiply
740,513,214.79x = 1,021,902,574.26 × 405,981,734.11 - Step 4: Simplify right side
740,513,214.79x = 414,873,779,188,495,232 - Step 5: Solve for x
x = 414,873,779,188,495,232/740,513,214.79 - Step 6: Final answer
x = 560,251,688.83
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.