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Finding the Fourth Proportional to 494,781.40, 742,128.90 and 162,357.40

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Solution

The fourth proportional to 494,781.40, 742,128.90 and 162,357.40 is: 243,521.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,781.40 : 742,128.90 = 162,357.40 : x
  2. Step 2: Convert to fraction form
    494,781.40/742,128.90 = 162,357.40/x
  3. Step 3: Cross multiply
    494,781.40x = 742,128.90 × 162,357.40
  4. Step 4: Simplify right side
    494,781.40x = 120,490,118,668.86
  5. Step 5: Solve for x
    x = 120,490,118,668.86/494,781.40
  6. Step 6: Final answer
    x = 243,521.92

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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.