Finding the Fourth Proportional to 427,165,251,886.84, 589,488,483,866.64 and 231,848,574,027.74
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Solution
The fourth proportional to 427,165,251,886.84, 589,488,483,866.64 and 231,848,574,027.74 is: 319,951,268,944.65
Step by Step Solution
- Step 1: Write the proportion equation
427,165,251,886.84 : 589,488,483,866.64 = 231,848,574,027.74 : x - Step 2: Convert to fraction form
427,165,251,886.84/589,488,483,866.64 = 231,848,574,027.74/x - Step 3: Cross multiply
427,165,251,886.84x = 589,488,483,866.64 × 231,848,574,027.74 - Step 4: Simplify right side
427,165,251,886.84x = 136,672,064,390,254,903,164,928 - Step 5: Solve for x
x = 136,672,064,390,254,903,164,928/427,165,251,886.84 - Step 6: Final answer
x = 319,951,268,944.65
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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.