Finding the Fourth Proportional to 430,935.16, 646,447.74 and 164,693.80
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Solution
The fourth proportional to 430,935.16, 646,447.74 and 164,693.80 is: 247,057.90
Step by Step Solution
- Step 1: Write the proportion equation
430,935.16 : 646,447.74 = 164,693.80 : x - Step 2: Convert to fraction form
430,935.16/646,447.74 = 164,693.80/x - Step 3: Cross multiply
430,935.16x = 646,447.74 × 164,693.80 - Step 4: Simplify right side
430,935.16x = 106,465,934,802.01 - Step 5: Solve for x
x = 106,465,934,802.01/430,935.16 - Step 6: Final answer
x = 247,057.90
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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.