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Finding the Fourth Proportional to 457,027.65, 685,605.26 and 190,727.12

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Solution

The fourth proportional to 457,027.65, 685,605.26 and 190,727.12 is: 286,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,027.65 : 685,605.26 = 190,727.12 : x
  2. Step 2: Convert to fraction form
    457,027.65/685,605.26 = 190,727.12/x
  3. Step 3: Cross multiply
    457,027.65x = 685,605.26 × 190,727.12
  4. Step 4: Simplify right side
    457,027.65x = 130,763,518,887.48
  5. Step 5: Solve for x
    x = 130,763,518,887.48/457,027.65
  6. Step 6: Final answer
    x = 286,117.30

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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.