Finding the Fourth Proportional to 285,667,574,780.16, 394,221,317,545.93 and 157,209,023,396.74
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Solution
The fourth proportional to 285,667,574,780.16, 394,221,317,545.93 and 157,209,023,396.74 is: 216,948,487,700.31
Step by Step Solution
- Step 1: Write the proportion equation
285,667,574,780.16 : 394,221,317,545.93 = 157,209,023,396.74 : x - Step 2: Convert to fraction form
285,667,574,780.16/394,221,317,545.93 = 157,209,023,396.74/x - Step 3: Cross multiply
285,667,574,780.16x = 394,221,317,545.93 × 157,209,023,396.74 - Step 4: Simplify right side
285,667,574,780.16x = 61,975,148,333,571,776,708,608 - Step 5: Solve for x
x = 61,975,148,333,571,776,708,608/285,667,574,780.16 - Step 6: Final answer
x = 216,948,487,700.31
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1.5x scale
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.