Finding the Fourth Proportional to 456,199,557.40, 682,955,643.30 and 429,624,299.80
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Solution
The fourth proportional to 456,199,557.40, 682,955,643.30 and 429,624,299.80 is: 643,171,031.82
Step by Step Solution
- Step 1: Write the proportion equation
456,199,557.40 : 682,955,643.30 = 429,624,299.80 : x - Step 2: Convert to fraction form
456,199,557.40/682,955,643.30 = 429,624,299.80/x - Step 3: Cross multiply
456,199,557.40x = 682,955,643.30 × 429,624,299.80 - Step 4: Simplify right side
456,199,557.40x = 293,414,340,047,221,056 - Step 5: Solve for x
x = 293,414,340,047,221,056/456,199,557.40 - Step 6: Final answer
x = 643,171,031.82
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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.