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Finding the Fourth Proportional to 495,298.40, 742,947.60 and 121,321.40

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Solution

The fourth proportional to 495,298.40, 742,947.60 and 121,321.40 is: 181,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,298.40 : 742,947.60 = 121,321.40 : x
  2. Step 2: Convert to fraction form
    495,298.40/742,947.60 = 121,321.40/x
  3. Step 3: Cross multiply
    495,298.40x = 742,947.60 × 121,321.40
  4. Step 4: Simplify right side
    495,298.40x = 90,135,442,958.64
  5. Step 5: Solve for x
    x = 90,135,442,958.64/495,298.40
  6. Step 6: Final answer
    x = 181,982.10

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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.