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Finding the Fourth Proportional to 495,728.40, 742,773.40 and 422,000.40

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Solution

The fourth proportional to 495,728.40, 742,773.40 and 422,000.40 is: 632,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,728.40 : 742,773.40 = 422,000.40 : x
  2. Step 2: Convert to fraction form
    495,728.40/742,773.40 = 422,000.40/x
  3. Step 3: Cross multiply
    495,728.40x = 742,773.40 × 422,000.40
  4. Step 4: Simplify right side
    495,728.40x = 313,450,671,909.36
  5. Step 5: Solve for x
    x = 313,450,671,909.36/495,728.40
  6. Step 6: Final answer
    x = 632,303.24

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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.