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Finding the Fourth Proportional to 428,717.43, 591,678.81 and 247,477.98

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Solution

The fourth proportional to 428,717.43, 591,678.81 and 247,477.98 is: 341,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,717.43 : 591,678.81 = 247,477.98 : x
  2. Step 2: Convert to fraction form
    428,717.43/591,678.81 = 247,477.98/x
  3. Step 3: Cross multiply
    428,717.43x = 591,678.81 × 247,477.98
  4. Step 4: Simplify right side
    428,717.43x = 146,427,476,707.60
  5. Step 5: Solve for x
    x = 146,427,476,707.60/428,717.43
  6. Step 6: Final answer
    x = 341,547.76

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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.