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Finding the Fourth Proportional to 293,670.40, 440,505.60 and 83,315.20

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Solution

The fourth proportional to 293,670.40, 440,505.60 and 83,315.20 is: 124,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,670.40 : 440,505.60 = 83,315.20 : x
  2. Step 2: Convert to fraction form
    293,670.40/440,505.60 = 83,315.20/x
  3. Step 3: Cross multiply
    293,670.40x = 440,505.60 × 83,315.20
  4. Step 4: Simplify right side
    293,670.40x = 36,700,812,165.12
  5. Step 5: Solve for x
    x = 36,700,812,165.12/293,670.40
  6. Step 6: Final answer
    x = 124,972.80

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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.