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Finding the Fourth Proportional to 376,624.80, 564,412.32 and 283,021.20

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Solution

The fourth proportional to 376,624.80, 564,412.32 and 283,021.20 is: 424,137.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,624.80 : 564,412.32 = 283,021.20 : x
  2. Step 2: Convert to fraction form
    376,624.80/564,412.32 = 283,021.20/x
  3. Step 3: Cross multiply
    376,624.80x = 564,412.32 × 283,021.20
  4. Step 4: Simplify right side
    376,624.80x = 159,740,652,101.18
  5. Step 5: Solve for x
    x = 159,740,652,101.18/376,624.80
  6. Step 6: Final answer
    x = 424,137.37

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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.