Finding the Fourth Proportional to 312,689,984,284.68, 431,488,497,000.75 and 175,486,312,032.68
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Solution
The fourth proportional to 312,689,984,284.68, 431,488,497,000.75 and 175,486,312,032.68 is: 242,157,820,297.33
Step by Step Solution
- Step 1: Write the proportion equation
312,689,984,284.68 : 431,488,497,000.75 = 175,486,312,032.68 : x - Step 2: Convert to fraction form
312,689,984,284.68/431,488,497,000.75 = 175,486,312,032.68/x - Step 3: Cross multiply
312,689,984,284.68x = 431,488,497,000.75 × 175,486,312,032.68 - Step 4: Simplify right side
312,689,984,284.68x = 75,720,325,023,185,724,506,112 - Step 5: Solve for x
x = 75,720,325,023,185,724,506,112/312,689,984,284.68 - Step 6: Final answer
x = 242,157,820,297.33
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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.