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Finding the Fourth Proportional to 457,726.40, 685,957.60 and 330,351.20

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Solution

The fourth proportional to 457,726.40, 685,957.60 and 330,351.20 is: 495,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,726.40 : 685,957.60 = 330,351.20 : x
  2. Step 2: Convert to fraction form
    457,726.40/685,957.60 = 330,351.20/x
  3. Step 3: Cross multiply
    457,726.40x = 685,957.60 × 330,351.20
  4. Step 4: Simplify right side
    457,726.40x = 226,606,916,309.12
  5. Step 5: Solve for x
    x = 226,606,916,309.12/457,726.40
  6. Step 6: Final answer
    x = 495,070.67

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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.