Finding the Fourth Proportional to 842,031,471.42, 1,263,133,835.40 and 317,842,106.58
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Solution
The fourth proportional to 842,031,471.42, 1,263,133,835.40 and 317,842,106.58 is: 476,795,859.49
Step by Step Solution
- Step 1: Write the proportion equation
842,031,471.42 : 1,263,133,835.40 = 317,842,106.58 : x - Step 2: Convert to fraction form
842,031,471.42/1,263,133,835.40 = 317,842,106.58/x - Step 3: Cross multiply
842,031,471.42x = 1,263,133,835.40 × 317,842,106.58 - Step 4: Simplify right side
842,031,471.42x = 401,477,119,136,011,008 - Step 5: Solve for x
x = 401,477,119,136,011,008/842,031,471.42 - Step 6: Final answer
x = 476,795,859.49
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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.