Finding the Fourth Proportional to 1,001,180,301.98, 1,381,631,792.81 and 555,175,085.76
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Solution
The fourth proportional to 1,001,180,301.98, 1,381,631,792.81 and 555,175,085.76 is: 766,143,268.65
Step by Step Solution
- Step 1: Write the proportion equation
1,001,180,301.98 : 1,381,631,792.81 = 555,175,085.76 : x - Step 2: Convert to fraction form
1,001,180,301.98/1,381,631,792.81 = 555,175,085.76/x - Step 3: Cross multiply
1,001,180,301.98x = 1,381,631,792.81 × 555,175,085.76 - Step 4: Simplify right side
1,001,180,301.98x = 767,047,549,059,258,496 - Step 5: Solve for x
x = 767,047,549,059,258,496/1,001,180,301.98 - Step 6: Final answer
x = 766,143,268.65
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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.