Finding the Fourth Proportional to 840,702.24, 1,160,194.65 and 478,178.23
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Solution
The fourth proportional to 840,702.24, 1,160,194.65 and 478,178.23 is: 659,900.49
Step by Step Solution
- Step 1: Write the proportion equation
840,702.24 : 1,160,194.65 = 478,178.23 : x - Step 2: Convert to fraction form
840,702.24/1,160,194.65 = 478,178.23/x - Step 3: Cross multiply
840,702.24x = 1,160,194.65 × 478,178.23 - Step 4: Simplify right side
840,702.24x = 554,779,824,192.47 - Step 5: Solve for x
x = 554,779,824,192.47/840,702.24 - Step 6: Final answer
x = 659,900.49
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1.5x scale
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.