Finding the Fourth Proportional to 1,249,349,976.46, 1,874,235,653.26 and 420,106,497.63
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Solution
The fourth proportional to 1,249,349,976.46, 1,874,235,653.26 and 420,106,497.63 is: 630,230,592.60
Step by Step Solution
- Step 1: Write the proportion equation
1,249,349,976.46 : 1,874,235,653.26 = 420,106,497.63 : x - Step 2: Convert to fraction form
1,249,349,976.46/1,874,235,653.26 = 420,106,497.63/x - Step 3: Cross multiply
1,249,349,976.46x = 1,874,235,653.26 × 420,106,497.63 - Step 4: Simplify right side
1,249,349,976.46x = 787,378,576,031,569,024 - Step 5: Solve for x
x = 787,378,576,031,569,024/1,249,349,976.46 - Step 6: Final answer
x = 630,230,592.60
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1.5x scale
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.