Finding the Fourth Proportional to 309,316,414.91, 463,930,938.14 and 99,199,797.54
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Solution
The fourth proportional to 309,316,414.91, 463,930,938.14 and 99,199,797.54 is: 148,785,686.49
Step by Step Solution
- Step 1: Write the proportion equation
309,316,414.91 : 463,930,938.14 = 99,199,797.54 : x - Step 2: Convert to fraction form
309,316,414.91/463,930,938.14 = 99,199,797.54/x - Step 3: Cross multiply
309,316,414.91x = 463,930,938.14 × 99,199,797.54 - Step 4: Simplify right side
309,316,414.91x = 46,021,855,133,462,608 - Step 5: Solve for x
x = 46,021,855,133,462,608/309,316,414.91 - Step 6: Final answer
x = 148,785,686.49
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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.