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Finding the Fourth Proportional to 265,883.81, 398,705.76 and 76,301.16

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Solution

The fourth proportional to 265,883.81, 398,705.76 and 76,301.16 is: 114,417.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,883.81 : 398,705.76 = 76,301.16 : x
  2. Step 2: Convert to fraction form
    265,883.81/398,705.76 = 76,301.16/x
  3. Step 3: Cross multiply
    265,883.81x = 398,705.76 × 76,301.16
  4. Step 4: Simplify right side
    265,883.81x = 30,421,710,231.97
  5. Step 5: Solve for x
    x = 30,421,710,231.97/265,883.81
  6. Step 6: Final answer
    x = 114,417.31

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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.