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Finding the Fourth Proportional to 387,641.80, 535,157.46 and 234,706.12

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Solution

The fourth proportional to 387,641.80, 535,157.46 and 234,706.12 is: 324,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,641.80 : 535,157.46 = 234,706.12 : x
  2. Step 2: Convert to fraction form
    387,641.80/535,157.46 = 234,706.12/x
  3. Step 3: Cross multiply
    387,641.80x = 535,157.46 × 234,706.12
  4. Step 4: Simplify right side
    387,641.80x = 125,604,731,025.66
  5. Step 5: Solve for x
    x = 125,604,731,025.66/387,641.80
  6. Step 6: Final answer
    x = 324,022.67

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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.