Finding the Fourth Proportional to 392,582,039,267.49, 589,051,985,038.53 and 201,488,271,106.12
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Solution
The fourth proportional to 392,582,039,267.49, 589,051,985,038.53 and 201,488,271,106.12 is: 302,324,238,466.17
Step by Step Solution
- Step 1: Write the proportion equation
392,582,039,267.49 : 589,051,985,038.53 = 201,488,271,106.12 : x - Step 2: Convert to fraction form
392,582,039,267.49/589,051,985,038.53 = 201,488,271,106.12/x - Step 3: Cross multiply
392,582,039,267.49x = 589,051,985,038.53 × 201,488,271,106.12 - Step 4: Simplify right side
392,582,039,267.49x = 118,687,066,057,041,472,651,264 - Step 5: Solve for x
x = 118,687,066,057,041,472,651,264/392,582,039,267.49 - Step 6: Final answer
x = 302,324,238,466.17
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.