Finding the Fourth Proportional to 1,564,282,384.23, 2,158,894,753.96 and 929,205,385.17
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Solution
The fourth proportional to 1,564,282,384.23, 2,158,894,753.96 and 929,205,385.17 is: 1,282,413,361.95
Step by Step Solution
- Step 1: Write the proportion equation
1,564,282,384.23 : 2,158,894,753.96 = 929,205,385.17 : x - Step 2: Convert to fraction form
1,564,282,384.23/2,158,894,753.96 = 929,205,385.17/x - Step 3: Cross multiply
1,564,282,384.23x = 2,158,894,753.96 × 929,205,385.17 - Step 4: Simplify right side
1,564,282,384.23x = 2,006,056,631,392,571,136 - Step 5: Solve for x
x = 2,006,056,631,392,571,136/1,564,282,384.23 - Step 6: Final answer
x = 1,282,413,361.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.