Finding the Fourth Proportional to 1,024,089,409.04, 1,535,960,853.18 and 286,989,669.08
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Solution
The fourth proportional to 1,024,089,409.04, 1,535,960,853.18 and 286,989,669.08 is: 430,435,949.33
Step by Step Solution
- Step 1: Write the proportion equation
1,024,089,409.04 : 1,535,960,853.18 = 286,989,669.08 : x - Step 2: Convert to fraction form
1,024,089,409.04/1,535,960,853.18 = 286,989,669.08/x - Step 3: Cross multiply
1,024,089,409.04x = 1,535,960,853.18 × 286,989,669.08 - Step 4: Simplify right side
1,024,089,409.04x = 440,804,896,973,962,688 - Step 5: Solve for x
x = 440,804,896,973,962,688/1,024,089,409.04 - Step 6: Final answer
x = 430,435,949.33
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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.