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Finding the Fourth Proportional to 376,905.40, 565,358.10 and 155,289.40

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Solution

The fourth proportional to 376,905.40, 565,358.10 and 155,289.40 is: 232,934.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,905.40 : 565,358.10 = 155,289.40 : x
  2. Step 2: Convert to fraction form
    376,905.40/565,358.10 = 155,289.40/x
  3. Step 3: Cross multiply
    376,905.40x = 565,358.10 × 155,289.40
  4. Step 4: Simplify right side
    376,905.40x = 87,794,120,134.14
  5. Step 5: Solve for x
    x = 87,794,120,134.14/376,905.40
  6. Step 6: Final answer
    x = 232,934.10

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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.