Finding the Fourth Proportional to 1,584,576,276.80, 2,376,864,415.20 and 766,771,246.40
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Solution
The fourth proportional to 1,584,576,276.80, 2,376,864,415.20 and 766,771,246.40 is: 1,150,156,869.60
Step by Step Solution
- Step 1: Write the proportion equation
1,584,576,276.80 : 2,376,864,415.20 = 766,771,246.40 : x - Step 2: Convert to fraction form
1,584,576,276.80/2,376,864,415.20 = 766,771,246.40/x - Step 3: Cross multiply
1,584,576,276.80x = 2,376,864,415.20 × 766,771,246.40 - Step 4: Simplify right side
1,584,576,276.80x = 1,822,511,290,166,710,784 - Step 5: Solve for x
x = 1,822,511,290,166,710,784/1,584,576,276.80 - Step 6: Final answer
x = 1,150,156,869.60
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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.