Finding the Fourth Proportional to 407,375,326,461.04, 562,152,620,228.72 and 224,462,192,100
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Solution
The fourth proportional to 407,375,326,461.04, 562,152,620,228.72 and 224,462,192,100 is: 309,743,868,209.86
Step by Step Solution
- Step 1: Write the proportion equation
407,375,326,461.04 : 562,152,620,228.72 = 224,462,192,100 : x - Step 2: Convert to fraction form
407,375,326,461.04/562,152,620,228.72 = 224,462,192,100/x - Step 3: Cross multiply
407,375,326,461.04x = 562,152,620,228.72 × 224,462,192,100 - Step 4: Simplify right side
407,375,326,461.04x = 126,182,009,431,297,280,180,224 - Step 5: Solve for x
x = 126,182,009,431,297,280,180,224/407,375,326,461.04 - Step 6: Final answer
x = 309,743,868,209.86
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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.