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Finding the Fourth Proportional to 282,434.76, 389,762.66 and 155,113

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Solution

The fourth proportional to 282,434.76, 389,762.66 and 155,113 is: 214,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,434.76 : 389,762.66 = 155,113 : x
  2. Step 2: Convert to fraction form
    282,434.76/389,762.66 = 155,113/x
  3. Step 3: Cross multiply
    282,434.76x = 389,762.66 × 155,113
  4. Step 4: Simplify right side
    282,434.76x = 60,457,255,480.58
  5. Step 5: Solve for x
    x = 60,457,255,480.58/282,434.76
  6. Step 6: Final answer
    x = 214,057.42

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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.