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Finding the Fourth Proportional to 495,297.48, 742,959.54 and 140,274.84

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Solution

The fourth proportional to 495,297.48, 742,959.54 and 140,274.84 is: 210,416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,297.48 : 742,959.54 = 140,274.84 : x
  2. Step 2: Convert to fraction form
    495,297.48/742,959.54 = 140,274.84/x
  3. Step 3: Cross multiply
    495,297.48x = 742,959.54 × 140,274.84
  4. Step 4: Simplify right side
    495,297.48x = 104,218,530,599.97
  5. Step 5: Solve for x
    x = 104,218,530,599.97/495,297.48
  6. Step 6: Final answer
    x = 210,416.03

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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.