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Finding the Fourth Proportional to 428,707.50, 591,573.71 and 247,477.82

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Solution

The fourth proportional to 428,707.50, 591,573.71 and 247,477.82 is: 341,494.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,707.50 : 591,573.71 = 247,477.82 : x
  2. Step 2: Convert to fraction form
    428,707.50/591,573.71 = 247,477.82/x
  3. Step 3: Cross multiply
    428,707.50x = 591,573.71 × 247,477.82
  4. Step 4: Simplify right side
    428,707.50x = 146,401,368,214.87
  5. Step 5: Solve for x
    x = 146,401,368,214.87/428,707.50
  6. Step 6: Final answer
    x = 341,494.77

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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.