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Finding the Fourth Proportional to 286,641.59, 429,960.76 and 73,409.09

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Solution

The fourth proportional to 286,641.59, 429,960.76 and 73,409.09 is: 110,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,641.59 : 429,960.76 = 73,409.09 : x
  2. Step 2: Convert to fraction form
    286,641.59/429,960.76 = 73,409.09/x
  3. Step 3: Cross multiply
    286,641.59x = 429,960.76 × 73,409.09
  4. Step 4: Simplify right side
    286,641.59x = 31,563,025,793.98
  5. Step 5: Solve for x
    x = 31,563,025,793.98/286,641.59
  6. Step 6: Final answer
    x = 110,113.21

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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.