Finding the Fourth Proportional to 1,571,314,505.63, 2,357,372,110.66 and 465,959,740.91
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Solution
The fourth proportional to 1,571,314,505.63, 2,357,372,110.66 and 465,959,740.91 is: 699,058,332.35
Step by Step Solution
- Step 1: Write the proportion equation
1,571,314,505.63 : 2,357,372,110.66 = 465,959,740.91 : x - Step 2: Convert to fraction form
1,571,314,505.63/2,357,372,110.66 = 465,959,740.91/x - Step 3: Cross multiply
1,571,314,505.63x = 2,357,372,110.66 × 465,959,740.91 - Step 4: Simplify right side
1,571,314,505.63x = 1,098,440,497,898,641,536 - Step 5: Solve for x
x = 1,098,440,497,898,641,536/1,571,314,505.63 - Step 6: Final answer
x = 699,058,332.35
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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.