Finding the Fourth Proportional to 1,187,286,225, 1,781,051,372.06 and 410,930,618.28
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Solution
The fourth proportional to 1,187,286,225, 1,781,051,372.06 and 410,930,618.28 is: 616,438,164.70
Step by Step Solution
- Step 1: Write the proportion equation
1,187,286,225 : 1,781,051,372.06 = 410,930,618.28 : x - Step 2: Convert to fraction form
1,187,286,225/1,781,051,372.06 = 410,930,618.28/x - Step 3: Cross multiply
1,187,286,225x = 1,781,051,372.06 × 410,930,618.28 - Step 4: Simplify right side
1,187,286,225x = 731,888,541,509,058,048 - Step 5: Solve for x
x = 731,888,541,509,058,048/1,187,286,225 - Step 6: Final answer
x = 616,438,164.70
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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.