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Finding the Fourth Proportional to 291,405.34, 402,086.04 and 162,340.70

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Solution

The fourth proportional to 291,405.34, 402,086.04 and 162,340.70 is: 224,000.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,405.34 : 402,086.04 = 162,340.70 : x
  2. Step 2: Convert to fraction form
    291,405.34/402,086.04 = 162,340.70/x
  3. Step 3: Cross multiply
    291,405.34x = 402,086.04 × 162,340.70
  4. Step 4: Simplify right side
    291,405.34x = 65,274,929,193.83
  5. Step 5: Solve for x
    x = 65,274,929,193.83/291,405.34
  6. Step 6: Final answer
    x = 224,000.46

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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.