Finding the Fourth Proportional to 854,292,267,199.40, 1,178,924,496,184.20 and 463,658,836,975.41
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Solution
The fourth proportional to 854,292,267,199.40, 1,178,924,496,184.20 and 463,658,836,975.41 is: 639,849,828,647.70
Step by Step Solution
- Step 1: Write the proportion equation
854,292,267,199.40 : 1,178,924,496,184.20 = 463,658,836,975.41 : x - Step 2: Convert to fraction form
854,292,267,199.40/1,178,924,496,184.20 = 463,658,836,975.41/x - Step 3: Cross multiply
854,292,267,199.40x = 1,178,924,496,184.20 × 463,658,836,975.41 - Step 4: Simplify right side
854,292,267,199.40x = 546,618,760,782,587,300,413,440 - Step 5: Solve for x
x = 546,618,760,782,587,300,413,440/854,292,267,199.40 - Step 6: Final answer
x = 639,849,828,647.70
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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.