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Finding the Fourth Proportional to 509,000.88, 702,477 and 291,229.68

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Solution

The fourth proportional to 509,000.88, 702,477 and 291,229.68 is: 401,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,000.88 : 702,477 = 291,229.68 : x
  2. Step 2: Convert to fraction form
    509,000.88/702,477 = 291,229.68/x
  3. Step 3: Cross multiply
    509,000.88x = 702,477 × 291,229.68
  4. Step 4: Simplify right side
    509,000.88x = 204,582,151,917.36
  5. Step 5: Solve for x
    x = 204,582,151,917.36/509,000.88
  6. Step 6: Final answer
    x = 401,928.88

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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.