Finding the Fourth Proportional to 767,668,499.10, 1,149,235,267.05 and 509,175,596.70
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Solution
The fourth proportional to 767,668,499.10, 1,149,235,267.05 and 509,175,596.70 is: 762,259,430.39
Step by Step Solution
- Step 1: Write the proportion equation
767,668,499.10 : 1,149,235,267.05 = 509,175,596.70 : x - Step 2: Convert to fraction form
767,668,499.10/1,149,235,267.05 = 509,175,596.70/x - Step 3: Cross multiply
767,668,499.10x = 1,149,235,267.05 × 509,175,596.70 - Step 4: Simplify right side
767,668,499.10x = 585,162,552,848,867,584 - Step 5: Solve for x
x = 585,162,552,848,867,584/767,668,499.10 - Step 6: Final answer
x = 762,259,430.39
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1.5x scale
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.