Finding the Fourth Proportional to 555,365,948,416.18, 766,343,730,189.12 and 311,445,221,593.52
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Solution
The fourth proportional to 555,365,948,416.18, 766,343,730,189.12 and 311,445,221,593.52 is: 429,760,041,187.65
Step by Step Solution
- Step 1: Write the proportion equation
555,365,948,416.18 : 766,343,730,189.12 = 311,445,221,593.52 : x - Step 2: Convert to fraction form
555,365,948,416.18/766,343,730,189.12 = 311,445,221,593.52/x - Step 3: Cross multiply
555,365,948,416.18x = 766,343,730,189.12 × 311,445,221,593.52 - Step 4: Simplify right side
555,365,948,416.18x = 238,674,092,865,555,206,766,592 - Step 5: Solve for x
x = 238,674,092,865,555,206,766,592/555,365,948,416.18 - Step 6: Final answer
x = 429,760,041,187.65
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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.