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Finding the Fourth Proportional to 457,160.80, 685,762.80 and 141,838.60

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Solution

The fourth proportional to 457,160.80, 685,762.80 and 141,838.60 is: 212,764.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,160.80 : 685,762.80 = 141,838.60 : x
  2. Step 2: Convert to fraction form
    457,160.80/685,762.80 = 141,838.60/x
  3. Step 3: Cross multiply
    457,160.80x = 685,762.80 × 141,838.60
  4. Step 4: Simplify right side
    457,160.80x = 97,267,635,484.08
  5. Step 5: Solve for x
    x = 97,267,635,484.08/457,160.80
  6. Step 6: Final answer
    x = 212,764.60

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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.