Finding the Fourth Proportional to 287,309,245,229.76, 430,964,282,620.92 and 117,328,834,258.08
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Solution
The fourth proportional to 287,309,245,229.76, 430,964,282,620.92 and 117,328,834,258.08 is: 175,993,420,769.83
Step by Step Solution
- Step 1: Write the proportion equation
287,309,245,229.76 : 430,964,282,620.92 = 117,328,834,258.08 : x - Step 2: Convert to fraction form
287,309,245,229.76/430,964,282,620.92 = 117,328,834,258.08/x - Step 3: Cross multiply
287,309,245,229.76x = 430,964,282,620.92 × 117,328,834,258.08 - Step 4: Simplify right side
287,309,245,229.76x = 50,564,536,886,782,272,208,896 - Step 5: Solve for x
x = 50,564,536,886,782,272,208,896/287,309,245,229.76 - Step 6: Final answer
x = 175,993,420,769.83
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.