Finding the Fourth Proportional to 414,352,262.28, 571,806,178.86 and 228,713,317.32
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Solution
The fourth proportional to 414,352,262.28, 571,806,178.86 and 228,713,317.32 is: 315,624,409.32
Step by Step Solution
- Step 1: Write the proportion equation
414,352,262.28 : 571,806,178.86 = 228,713,317.32 : x - Step 2: Convert to fraction form
414,352,262.28/571,806,178.86 = 228,713,317.32/x - Step 3: Cross multiply
414,352,262.28x = 571,806,178.86 × 228,713,317.32 - Step 4: Simplify right side
414,352,262.28x = 130,779,688,031,143,856 - Step 5: Solve for x
x = 130,779,688,031,143,856/414,352,262.28 - Step 6: Final answer
x = 315,624,409.32
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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.