Finding the Fourth Proportional to 409,293,465,974.04, 564,787,078,412.76 and 226,386,630,952.56
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Solution
The fourth proportional to 409,293,465,974.04, 564,787,078,412.76 and 226,386,630,952.56 is: 312,392,585,068.81
Step by Step Solution
- Step 1: Write the proportion equation
409,293,465,974.04 : 564,787,078,412.76 = 226,386,630,952.56 : x - Step 2: Convert to fraction form
409,293,465,974.04/564,787,078,412.76 = 226,386,630,952.56/x - Step 3: Cross multiply
409,293,465,974.04x = 564,787,078,412.76 × 226,386,630,952.56 - Step 4: Simplify right side
409,293,465,974.04x = 127,860,243,887,404,068,372,480 - Step 5: Solve for x
x = 127,860,243,887,404,068,372,480/409,293,465,974.04 - Step 6: Final answer
x = 312,392,585,068.81
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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.