Finding the Fourth Proportional to 1,977,408,547.20, 2,966,112,820.80 and 1,149,777,763.20
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Solution
The fourth proportional to 1,977,408,547.20, 2,966,112,820.80 and 1,149,777,763.20 is: 1,724,666,644.80
Step by Step Solution
- Step 1: Write the proportion equation
1,977,408,547.20 : 2,966,112,820.80 = 1,149,777,763.20 : x - Step 2: Convert to fraction form
1,977,408,547.20/2,966,112,820.80 = 1,149,777,763.20/x - Step 3: Cross multiply
1,977,408,547.20x = 2,966,112,820.80 × 1,149,777,763.20 - Step 4: Simplify right side
1,977,408,547.20x = 3,410,370,564,498,266,624 - Step 5: Solve for x
x = 3,410,370,564,498,266,624/1,977,408,547.20 - Step 6: Final answer
x = 1,724,666,644.80
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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.