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Finding the Fourth Proportional to 313,258.20, 469,973.70 and 155,491.80

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Solution

The fourth proportional to 313,258.20, 469,973.70 and 155,491.80 is: 233,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,258.20 : 469,973.70 = 155,491.80 : x
  2. Step 2: Convert to fraction form
    313,258.20/469,973.70 = 155,491.80/x
  3. Step 3: Cross multiply
    313,258.20x = 469,973.70 × 155,491.80
  4. Step 4: Simplify right side
    313,258.20x = 73,077,056,565.66
  5. Step 5: Solve for x
    x = 73,077,056,565.66/313,258.20
  6. Step 6: Final answer
    x = 233,280.59

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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.