Finding the Fourth Proportional to 1,408,921,747.57, 2,111,544,167.68 and 787,111,862.73
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Solution
The fourth proportional to 1,408,921,747.57, 2,111,544,167.68 and 787,111,862.73 is: 1,179,640,718.82
Step by Step Solution
- Step 1: Write the proportion equation
1,408,921,747.57 : 2,111,544,167.68 = 787,111,862.73 : x - Step 2: Convert to fraction form
1,408,921,747.57/2,111,544,167.68 = 787,111,862.73/x - Step 3: Cross multiply
1,408,921,747.57x = 2,111,544,167.68 × 787,111,862.73 - Step 4: Simplify right side
1,408,921,747.57x = 1,662,021,463,059,272,448 - Step 5: Solve for x
x = 1,662,021,463,059,272,448/1,408,921,747.57 - Step 6: Final answer
x = 1,179,640,718.82
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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.