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Finding the Fourth Proportional to 287,425.27, 431,322.44 and 192,762.35

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Solution

The fourth proportional to 287,425.27, 431,322.44 and 192,762.35 is: 289,267.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,425.27 : 431,322.44 = 192,762.35 : x
  2. Step 2: Convert to fraction form
    287,425.27/431,322.44 = 192,762.35/x
  3. Step 3: Cross multiply
    287,425.27x = 431,322.44 × 192,762.35
  4. Step 4: Simplify right side
    287,425.27x = 83,142,727,142.13
  5. Step 5: Solve for x
    x = 83,142,727,142.13/287,425.27
  6. Step 6: Final answer
    x = 289,267.28

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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.