Finding the Fourth Proportional to 902,120,746.72, 1,353,187,098.84 and 349,484,551.12
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Solution
The fourth proportional to 902,120,746.72, 1,353,187,098.84 and 349,484,551.12 is: 524,229,142.87
Step by Step Solution
- Step 1: Write the proportion equation
902,120,746.72 : 1,353,187,098.84 = 349,484,551.12 : x - Step 2: Convert to fraction form
902,120,746.72/1,353,187,098.84 = 349,484,551.12/x - Step 3: Cross multiply
902,120,746.72x = 1,353,187,098.84 × 349,484,551.12 - Step 4: Simplify right side
902,120,746.72x = 472,917,985,819,472,448 - Step 5: Solve for x
x = 472,917,985,819,472,448/902,120,746.72 - Step 6: Final answer
x = 524,229,142.87
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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.