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Finding the Fourth Proportional to 291,729.64, 402,584.50 and 162,666.60

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Solution

The fourth proportional to 291,729.64, 402,584.50 and 162,666.60 is: 224,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,729.64 : 402,584.50 = 162,666.60 : x
  2. Step 2: Convert to fraction form
    291,729.64/402,584.50 = 162,666.60/x
  3. Step 3: Cross multiply
    291,729.64x = 402,584.50 × 162,666.60
  4. Step 4: Simplify right side
    291,729.64x = 65,487,051,827.70
  5. Step 5: Solve for x
    x = 65,487,051,827.70/291,729.64
  6. Step 6: Final answer
    x = 224,478.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.