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Finding the Fourth Proportional to 457,745.40, 685,235.70 and 402,449.40

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Solution

The fourth proportional to 457,745.40, 685,235.70 and 402,449.40 is: 602,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,745.40 : 685,235.70 = 402,449.40 : x
  2. Step 2: Convert to fraction form
    457,745.40/685,235.70 = 402,449.40/x
  3. Step 3: Cross multiply
    457,745.40x = 685,235.70 × 402,449.40
  4. Step 4: Simplify right side
    457,745.40x = 275,772,696,323.58
  5. Step 5: Solve for x
    x = 275,772,696,323.58/457,745.40
  6. Step 6: Final answer
    x = 602,458.69

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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.