Finding the Fourth Proportional to 1,977,509,645.33, 2,731,228,209.18 and 1,302,344,740.13
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Solution
The fourth proportional to 1,977,509,645.33, 2,731,228,209.18 and 1,302,344,740.13 is: 1,798,727,354.23
Step by Step Solution
- Step 1: Write the proportion equation
1,977,509,645.33 : 2,731,228,209.18 = 1,302,344,740.13 : x - Step 2: Convert to fraction form
1,977,509,645.33/2,731,228,209.18 = 1,302,344,740.13/x - Step 3: Cross multiply
1,977,509,645.33x = 2,731,228,209.18 × 1,302,344,740.13 - Step 4: Simplify right side
1,977,509,645.33x = 3,557,000,692,306,595,840 - Step 5: Solve for x
x = 3,557,000,692,306,595,840/1,977,509,645.33 - Step 6: Final answer
x = 1,798,727,354.23
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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.