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Finding the Fourth Proportional to 495,720.40, 742,761.40 and 421,992.40

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Solution

The fourth proportional to 495,720.40, 742,761.40 and 421,992.40 is: 632,291.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,720.40 : 742,761.40 = 421,992.40 : x
  2. Step 2: Convert to fraction form
    495,720.40/742,761.40 = 421,992.40/x
  3. Step 3: Cross multiply
    495,720.40x = 742,761.40 × 421,992.40
  4. Step 4: Simplify right side
    495,720.40x = 313,439,665,813.36
  5. Step 5: Solve for x
    x = 313,439,665,813.36/495,720.40
  6. Step 6: Final answer
    x = 632,291.24

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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.