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Finding the Fourth Proportional to 457,004.57, 685,591.16 and 153,368.78

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Solution

The fourth proportional to 457,004.57, 685,591.16 and 153,368.78 is: 230,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,004.57 : 685,591.16 = 153,368.78 : x
  2. Step 2: Convert to fraction form
    457,004.57/685,591.16 = 153,368.78/x
  3. Step 3: Cross multiply
    457,004.57x = 685,591.16 × 153,368.78
  4. Step 4: Simplify right side
    457,004.57x = 105,148,275,593.19
  5. Step 5: Solve for x
    x = 105,148,275,593.19/457,004.57
  6. Step 6: Final answer
    x = 230,081.46

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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.