Finding the Fourth Proportional to 421,402,488,682.36, 581,435,762,943.68 and 238,499,590,259.02
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Solution
The fourth proportional to 421,402,488,682.36, 581,435,762,943.68 and 238,499,590,259.02 is: 329,073,023,886.52
Step by Step Solution
- Step 1: Write the proportion equation
421,402,488,682.36 : 581,435,762,943.68 = 238,499,590,259.02 : x - Step 2: Convert to fraction form
421,402,488,682.36/581,435,762,943.68 = 238,499,590,259.02/x - Step 3: Cross multiply
421,402,488,682.36x = 581,435,762,943.68 × 238,499,590,259.02 - Step 4: Simplify right side
421,402,488,682.36x = 138,672,191,224,008,367,144,960 - Step 5: Solve for x
x = 138,672,191,224,008,367,144,960/421,402,488,682.36 - Step 6: Final answer
x = 329,073,023,886.52
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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.