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Finding the Fourth Proportional to 457,178.54, 631,214.64 and 285,358.23

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Solution

The fourth proportional to 457,178.54, 631,214.64 and 285,358.23 is: 393,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,178.54 : 631,214.64 = 285,358.23 : x
  2. Step 2: Convert to fraction form
    457,178.54/631,214.64 = 285,358.23/x
  3. Step 3: Cross multiply
    457,178.54x = 631,214.64 × 285,358.23
  4. Step 4: Simplify right side
    457,178.54x = 180,122,292,420.49
  5. Step 5: Solve for x
    x = 180,122,292,420.49/457,178.54
  6. Step 6: Final answer
    x = 393,986.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.