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Finding the Fourth Proportional to 457,312.83, 685,969.52 and 190,928.13

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Solution

The fourth proportional to 457,312.83, 685,969.52 and 190,928.13 is: 286,392.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,312.83 : 685,969.52 = 190,928.13 : x
  2. Step 2: Convert to fraction form
    457,312.83/685,969.52 = 190,928.13/x
  3. Step 3: Cross multiply
    457,312.83x = 685,969.52 × 190,928.13
  4. Step 4: Simplify right side
    457,312.83x = 130,970,876,735.96
  5. Step 5: Solve for x
    x = 130,970,876,735.96/457,312.83
  6. Step 6: Final answer
    x = 286,392.31

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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.