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Finding the Fourth Proportional to 495,393.60, 742,944.60 and 140,438.64

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Solution

The fourth proportional to 495,393.60, 742,944.60 and 140,438.64 is: 210,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,393.60 : 742,944.60 = 140,438.64 : x
  2. Step 2: Convert to fraction form
    495,393.60/742,944.60 = 140,438.64/x
  3. Step 3: Cross multiply
    495,393.60x = 742,944.60 × 140,438.64
  4. Step 4: Simplify right side
    495,393.60x = 104,338,129,219.34
  5. Step 5: Solve for x
    x = 104,338,129,219.34/495,393.60
  6. Step 6: Final answer
    x = 210,616.63

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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.