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Finding the Fourth Proportional to 513,951.28, 770,978.54 and 176,947.32

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Solution

The fourth proportional to 513,951.28, 770,978.54 and 176,947.32 is: 265,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,951.28 : 770,978.54 = 176,947.32 : x
  2. Step 2: Convert to fraction form
    513,951.28/770,978.54 = 176,947.32/x
  3. Step 3: Cross multiply
    513,951.28x = 770,978.54 × 176,947.32
  4. Step 4: Simplify right side
    513,951.28x = 136,422,586,430.51
  5. Step 5: Solve for x
    x = 136,422,586,430.51/513,951.28
  6. Step 6: Final answer
    x = 265,438.75

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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.