Finding the Fourth Proportional to 491,178,643.80, 736,767,965.70 and 199,895,831.70
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Solution
The fourth proportional to 491,178,643.80, 736,767,965.70 and 199,895,831.70 is: 299,843,747.55
Step by Step Solution
- Step 1: Write the proportion equation
491,178,643.80 : 736,767,965.70 = 199,895,831.70 : x - Step 2: Convert to fraction form
491,178,643.80/736,767,965.70 = 199,895,831.70/x - Step 3: Cross multiply
491,178,643.80x = 736,767,965.70 × 199,895,831.70 - Step 4: Simplify right side
491,178,643.80x = 147,276,845,273,518,560 - Step 5: Solve for x
x = 147,276,845,273,518,560/491,178,643.80 - Step 6: Final answer
x = 299,843,747.55
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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.