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Finding the Fourth Proportional to 339,246.80, 508,870.20 and 286,758.80

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Solution

The fourth proportional to 339,246.80, 508,870.20 and 286,758.80 is: 430,138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,246.80 : 508,870.20 = 286,758.80 : x
  2. Step 2: Convert to fraction form
    339,246.80/508,870.20 = 286,758.80/x
  3. Step 3: Cross multiply
    339,246.80x = 508,870.20 × 286,758.80
  4. Step 4: Simplify right side
    339,246.80x = 145,923,007,907.76
  5. Step 5: Solve for x
    x = 145,923,007,907.76/339,246.80
  6. Step 6: Final answer
    x = 430,138.20

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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.