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Finding the Fourth Proportional to 490,113.68, 676,503.56 and 286,219.60

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Solution

The fourth proportional to 490,113.68, 676,503.56 and 286,219.60 is: 395,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,113.68 : 676,503.56 = 286,219.60 : x
  2. Step 2: Convert to fraction form
    490,113.68/676,503.56 = 286,219.60/x
  3. Step 3: Cross multiply
    490,113.68x = 676,503.56 × 286,219.60
  4. Step 4: Simplify right side
    490,113.68x = 193,628,578,341.78
  5. Step 5: Solve for x
    x = 193,628,578,341.78/490,113.68
  6. Step 6: Final answer
    x = 395,068.71

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1.5x scale

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.