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Finding the Fourth Proportional to 255,430.56, 352,505.11 and 142,253.31

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Solution

The fourth proportional to 255,430.56, 352,505.11 and 142,253.31 is: 196,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,430.56 : 352,505.11 = 142,253.31 : x
  2. Step 2: Convert to fraction form
    255,430.56/352,505.11 = 142,253.31/x
  3. Step 3: Cross multiply
    255,430.56x = 352,505.11 × 142,253.31
  4. Step 4: Simplify right side
    255,430.56x = 50,145,018,689.41
  5. Step 5: Solve for x
    x = 50,145,018,689.41/255,430.56
  6. Step 6: Final answer
    x = 196,315.66

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1.5x scale

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.