Finding the Fourth Proportional to 513,923,026.68, 709,214,683.34 and 278,973,849.88
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Solution
The fourth proportional to 513,923,026.68, 709,214,683.34 and 278,973,849.88 is: 384,984,404.92
Step by Step Solution
- Step 1: Write the proportion equation
513,923,026.68 : 709,214,683.34 = 278,973,849.88 : x - Step 2: Convert to fraction form
513,923,026.68/709,214,683.34 = 278,973,849.88/x - Step 3: Cross multiply
513,923,026.68x = 709,214,683.34 × 278,973,849.88 - Step 4: Simplify right side
513,923,026.68x = 197,852,350,602,784,896 - Step 5: Solve for x
x = 197,852,350,602,784,896/513,923,026.68 - Step 6: Final answer
x = 384,984,404.92
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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.