Finding the Fourth Proportional to 430,963,867,877.99, 646,446,423,981.45 and 175,993,251,420.52
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Solution
The fourth proportional to 430,963,867,877.99, 646,446,423,981.45 and 175,993,251,420.52 is: 263,990,131,204.86
Step by Step Solution
- Step 1: Write the proportion equation
430,963,867,877.99 : 646,446,423,981.45 = 175,993,251,420.52 : x - Step 2: Convert to fraction form
430,963,867,877.99/646,446,423,981.45 = 175,993,251,420.52/x - Step 3: Cross multiply
430,963,867,877.99x = 646,446,423,981.45 × 175,993,251,420.52 - Step 4: Simplify right side
430,963,867,877.99x = 113,770,208,025,663,391,137,792 - Step 5: Solve for x
x = 113,770,208,025,663,391,137,792/430,963,867,877.99 - Step 6: Final answer
x = 263,990,131,204.86
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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.