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Finding the Fourth Proportional to 286,886.80, 430,135.80 and 151,973.20

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Solution

The fourth proportional to 286,886.80, 430,135.80 and 151,973.20 is: 227,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,886.80 : 430,135.80 = 151,973.20 : x
  2. Step 2: Convert to fraction form
    286,886.80/430,135.80 = 151,973.20/x
  3. Step 3: Cross multiply
    286,886.80x = 430,135.80 × 151,973.20
  4. Step 4: Simplify right side
    286,886.80x = 65,369,113,960.56
  5. Step 5: Solve for x
    x = 65,369,113,960.56/286,886.80
  6. Step 6: Final answer
    x = 227,856.82

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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.