Finding the Fourth Proportional to 513,154,135,300.14, 708,153,407,973.70 and 278,509,426,830.48
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Solution
The fourth proportional to 513,154,135,300.14, 708,153,407,973.70 and 278,509,426,830.48 is: 384,343,389,627.85
Step by Step Solution
- Step 1: Write the proportion equation
513,154,135,300.14 : 708,153,407,973.70 = 278,509,426,830.48 : x - Step 2: Convert to fraction form
513,154,135,300.14/708,153,407,973.70 = 278,509,426,830.48/x - Step 3: Cross multiply
513,154,135,300.14x = 708,153,407,973.70 × 278,509,426,830.48 - Step 4: Simplify right side
513,154,135,300.14x = 197,227,399,762,806,220,783,616 - Step 5: Solve for x
x = 197,227,399,762,806,220,783,616/513,154,135,300.14 - Step 6: Final answer
x = 384,343,389,627.85
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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.