Finding the Fourth Proportional to 499,688,730,178.68, 689,570,447,646.51 and 285,832,620,250.68
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Solution
The fourth proportional to 499,688,730,178.68, 689,570,447,646.51 and 285,832,620,250.68 is: 394,449,015,945.90
Step by Step Solution
- Step 1: Write the proportion equation
499,688,730,178.68 : 689,570,447,646.51 = 285,832,620,250.68 : x - Step 2: Convert to fraction form
499,688,730,178.68/689,570,447,646.51 = 285,832,620,250.68/x - Step 3: Cross multiply
499,688,730,178.68x = 689,570,447,646.51 × 285,832,620,250.68 - Step 4: Simplify right side
499,688,730,178.68x = 197,101,727,898,236,318,908,416 - Step 5: Solve for x
x = 197,101,727,898,236,318,908,416/499,688,730,178.68 - Step 6: Final answer
x = 394,449,015,945.90
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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.