Finding the Fourth Proportional to 533,354,319,309.40, 736,029,505,374.80 and 289,483,838,446.65
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Solution
The fourth proportional to 533,354,319,309.40, 736,029,505,374.80 and 289,483,838,446.65 is: 399,487,992,713.31
Step by Step Solution
- Step 1: Write the proportion equation
533,354,319,309.40 : 736,029,505,374.80 = 289,483,838,446.65 : x - Step 2: Convert to fraction form
533,354,319,309.40/736,029,505,374.80 = 289,483,838,446.65/x - Step 3: Cross multiply
533,354,319,309.40x = 736,029,505,374.80 × 289,483,838,446.65 - Step 4: Simplify right side
533,354,319,309.40x = 213,068,646,425,886,329,929,728 - Step 5: Solve for x
x = 213,068,646,425,886,329,929,728/533,354,319,309.40 - Step 6: Final answer
x = 399,487,992,713.31
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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.