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Finding the Fourth Proportional to 291,703.76, 402,548.80 and 162,640.72

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Solution

The fourth proportional to 291,703.76, 402,548.80 and 162,640.72 is: 224,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,703.76 : 402,548.80 = 162,640.72 : x
  2. Step 2: Convert to fraction form
    291,703.76/402,548.80 = 162,640.72/x
  3. Step 3: Cross multiply
    291,703.76x = 402,548.80 × 162,640.72
  4. Step 4: Simplify right side
    291,703.76x = 65,470,826,667.14
  5. Step 5: Solve for x
    x = 65,470,826,667.14/291,703.76
  6. Step 6: Final answer
    x = 224,442.86

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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.