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Finding the Fourth Proportional to 253,407.32, 379,710.86 and 205,790.72

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Solution

The fourth proportional to 253,407.32, 379,710.86 and 205,790.72 is: 308,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,407.32 : 379,710.86 = 205,790.72 : x
  2. Step 2: Convert to fraction form
    253,407.32/379,710.86 = 205,790.72/x
  3. Step 3: Cross multiply
    253,407.32x = 379,710.86 × 205,790.72
  4. Step 4: Simplify right side
    253,407.32x = 78,140,968,343.71
  5. Step 5: Solve for x
    x = 78,140,968,343.71/253,407.32
  6. Step 6: Final answer
    x = 308,361.13

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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.