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Finding the Fourth Proportional to 286,378.40, 429,567.60 and 279,817.40

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Solution

The fourth proportional to 286,378.40, 429,567.60 and 279,817.40 is: 419,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,378.40 : 429,567.60 = 279,817.40 : x
  2. Step 2: Convert to fraction form
    286,378.40/429,567.60 = 279,817.40/x
  3. Step 3: Cross multiply
    286,378.40x = 429,567.60 × 279,817.40
  4. Step 4: Simplify right side
    286,378.40x = 120,200,488,956.24
  5. Step 5: Solve for x
    x = 120,200,488,956.24/286,378.40
  6. Step 6: Final answer
    x = 419,726.10

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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.