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Finding the Fourth Proportional to 457,743.40, 685,232.70 and 402,447.40

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Solution

The fourth proportional to 457,743.40, 685,232.70 and 402,447.40 is: 602,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,743.40 : 685,232.70 = 402,447.40 : x
  2. Step 2: Convert to fraction form
    457,743.40/685,232.70 = 402,447.40/x
  3. Step 3: Cross multiply
    457,743.40x = 685,232.70 × 402,447.40
  4. Step 4: Simplify right side
    457,743.40x = 275,770,118,509.98
  5. Step 5: Solve for x
    x = 275,770,118,509.98/457,743.40
  6. Step 6: Final answer
    x = 602,455.70

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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.