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Finding the Fourth Proportional to 283,655.96, 391,574.58 and 202,036.76

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Solution

The fourth proportional to 283,655.96, 391,574.58 and 202,036.76 is: 278,902.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,655.96 : 391,574.58 = 202,036.76 : x
  2. Step 2: Convert to fraction form
    283,655.96/391,574.58 = 202,036.76/x
  3. Step 3: Cross multiply
    283,655.96x = 391,574.58 × 202,036.76
  4. Step 4: Simplify right side
    283,655.96x = 79,112,459,441.56
  5. Step 5: Solve for x
    x = 79,112,459,441.56/283,655.96
  6. Step 6: Final answer
    x = 278,902.86

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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.