Finding the Fourth Proportional to 705,101,343.36, 972,014,317.48 and 492,748,892.68
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Solution
The fourth proportional to 705,101,343.36, 972,014,317.48 and 492,748,892.68 is: 679,276,792.08
Step by Step Solution
- Step 1: Write the proportion equation
705,101,343.36 : 972,014,317.48 = 492,748,892.68 : x - Step 2: Convert to fraction form
705,101,343.36/972,014,317.48 = 492,748,892.68/x - Step 3: Cross multiply
705,101,343.36x = 972,014,317.48 × 492,748,892.68 - Step 4: Simplify right side
705,101,343.36x = 478,958,978,607,376,000 - Step 5: Solve for x
x = 478,958,978,607,376,000/705,101,343.36 - Step 6: Final answer
x = 679,276,792.08
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Double scale
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1.5x scale
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.