Finding the Fourth Proportional to 869,047,625.76, 1,199,249,217.24 and 492,729,529.74
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Solution
The fourth proportional to 869,047,625.76, 1,199,249,217.24 and 492,729,529.74 is: 679,946,052.82
Step by Step Solution
- Step 1: Write the proportion equation
869,047,625.76 : 1,199,249,217.24 = 492,729,529.74 : x - Step 2: Convert to fraction form
869,047,625.76/1,199,249,217.24 = 492,729,529.74/x - Step 3: Cross multiply
869,047,625.76x = 1,199,249,217.24 × 492,729,529.74 - Step 4: Simplify right side
869,047,625.76x = 590,905,502,851,728,256 - Step 5: Solve for x
x = 590,905,502,851,728,256/869,047,625.76 - Step 6: Final answer
x = 679,946,052.82
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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.