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Finding the Fourth Proportional to 402,128.64, 603,005.76 and 149,232.96

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Solution

The fourth proportional to 402,128.64, 603,005.76 and 149,232.96 is: 223,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,128.64 : 603,005.76 = 149,232.96 : x
  2. Step 2: Convert to fraction form
    402,128.64/603,005.76 = 149,232.96/x
  3. Step 3: Cross multiply
    402,128.64x = 603,005.76 × 149,232.96
  4. Step 4: Simplify right side
    402,128.64x = 89,988,334,461.85
  5. Step 5: Solve for x
    x = 89,988,334,461.85/402,128.64
  6. Step 6: Final answer
    x = 223,779.97

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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.