Finding the Fourth Proportional to 478,119,195,160.08, 659,804,440,590.20 and 261,346,255,391.52
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Solution
The fourth proportional to 478,119,195,160.08, 659,804,440,590.20 and 261,346,255,391.52 is: 360,657,805,803.45
Step by Step Solution
- Step 1: Write the proportion equation
478,119,195,160.08 : 659,804,440,590.20 = 261,346,255,391.52 : x - Step 2: Convert to fraction form
478,119,195,160.08/659,804,440,590.20 = 261,346,255,391.52/x - Step 3: Cross multiply
478,119,195,160.08x = 659,804,440,590.20 × 261,346,255,391.52 - Step 4: Simplify right side
478,119,195,160.08x = 172,437,419,838,945,389,182,976 - Step 5: Solve for x
x = 172,437,419,838,945,389,182,976/478,119,195,160.08 - Step 6: Final answer
x = 360,657,805,803.45
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.