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Finding the Fourth Proportional to 286,023.96, 428,756.76 and 136,223.64

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Solution

The fourth proportional to 286,023.96, 428,756.76 and 136,223.64 is: 204,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,023.96 : 428,756.76 = 136,223.64 : x
  2. Step 2: Convert to fraction form
    286,023.96/428,756.76 = 136,223.64/x
  3. Step 3: Cross multiply
    286,023.96x = 428,756.76 × 136,223.64
  4. Step 4: Simplify right side
    286,023.96x = 58,406,806,521.81
  5. Step 5: Solve for x
    x = 58,406,806,521.81/286,023.96
  6. Step 6: Final answer
    x = 204,202.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.