Finding the Fourth Proportional to 768,209,975.06, 1,152,316,734.04 and 442,812,193.70
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Solution
The fourth proportional to 768,209,975.06, 1,152,316,734.04 and 442,812,193.70 is: 664,219,311.65
Step by Step Solution
- Step 1: Write the proportion equation
768,209,975.06 : 1,152,316,734.04 = 442,812,193.70 : x - Step 2: Convert to fraction form
768,209,975.06/1,152,316,734.04 = 442,812,193.70/x - Step 3: Cross multiply
768,209,975.06x = 1,152,316,734.04 × 442,812,193.70 - Step 4: Simplify right side
768,209,975.06x = 510,259,900,837,471,808 - Step 5: Solve for x
x = 510,259,900,837,471,808/768,209,975.06 - Step 6: Final answer
x = 664,219,311.65
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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.