Finding the Fourth Proportional to 711,184,046,282.95, 981,408,590,587.05 and 402,528,778,391.19
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Solution
The fourth proportional to 711,184,046,282.95, 981,408,590,587.05 and 402,528,778,391.19 is: 555,475,341,631.12
Step by Step Solution
- Step 1: Write the proportion equation
711,184,046,282.95 : 981,408,590,587.05 = 402,528,778,391.19 : x - Step 2: Convert to fraction form
711,184,046,282.95/981,408,590,587.05 = 402,528,778,391.19/x - Step 3: Cross multiply
711,184,046,282.95x = 981,408,590,587.05 × 402,528,778,391.19 - Step 4: Simplify right side
711,184,046,282.95x = 395,045,201,071,624,798,863,360 - Step 5: Solve for x
x = 395,045,201,071,624,798,863,360/711,184,046,282.95 - Step 6: Final answer
x = 555,475,341,631.12
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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.