Finding the Fourth Proportional to 293,355,440,143.20, 440,033,160,214.80 and 243,765,617,551.20
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Solution
The fourth proportional to 293,355,440,143.20, 440,033,160,214.80 and 243,765,617,551.20 is: 365,648,426,326.80
Step by Step Solution
- Step 1: Write the proportion equation
293,355,440,143.20 : 440,033,160,214.80 = 243,765,617,551.20 : x - Step 2: Convert to fraction form
293,355,440,143.20/440,033,160,214.80 = 243,765,617,551.20/x - Step 3: Cross multiply
293,355,440,143.20x = 440,033,160,214.80 × 243,765,617,551.20 - Step 4: Simplify right side
293,355,440,143.20x = 107,264,955,042,766,860,058,624 - Step 5: Solve for x
x = 107,264,955,042,766,860,058,624/293,355,440,143.20 - Step 6: Final answer
x = 365,648,426,326.80
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.