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Finding the Fourth Proportional to 442,174.50, 610,299.30 and 280,998.12

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Solution

The fourth proportional to 442,174.50, 610,299.30 and 280,998.12 is: 387,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,174.50 : 610,299.30 = 280,998.12 : x
  2. Step 2: Convert to fraction form
    442,174.50/610,299.30 = 280,998.12/x
  3. Step 3: Cross multiply
    442,174.50x = 610,299.30 × 280,998.12
  4. Step 4: Simplify right side
    442,174.50x = 171,492,955,937.32
  5. Step 5: Solve for x
    x = 171,492,955,937.32/442,174.50
  6. Step 6: Final answer
    x = 387,840.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.