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Finding the Fourth Proportional to 265,729.65, 398,221.46 and 145,477.45

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Solution

The fourth proportional to 265,729.65, 398,221.46 and 145,477.45 is: 218,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,729.65 : 398,221.46 = 145,477.45 : x
  2. Step 2: Convert to fraction form
    265,729.65/398,221.46 = 145,477.45/x
  3. Step 3: Cross multiply
    265,729.65x = 398,221.46 × 145,477.45
  4. Step 4: Simplify right side
    265,729.65x = 57,932,242,536.08
  5. Step 5: Solve for x
    x = 57,932,242,536.08/265,729.65
  6. Step 6: Final answer
    x = 218,011.97

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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.