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Finding the Fourth Proportional to 256,430.31, 384,689.21 and 114,327.15

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Solution

The fourth proportional to 256,430.31, 384,689.21 and 114,327.15 is: 171,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,430.31 : 384,689.21 = 114,327.15 : x
  2. Step 2: Convert to fraction form
    256,430.31/384,689.21 = 114,327.15/x
  3. Step 3: Cross multiply
    256,430.31x = 384,689.21 × 114,327.15
  4. Step 4: Simplify right side
    256,430.31x = 43,980,420,443.42
  5. Step 5: Solve for x
    x = 43,980,420,443.42/256,430.31
  6. Step 6: Final answer
    x = 171,510.23

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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.