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Finding the Fourth Proportional to 521,767.60, 783,601.80 and 456,449.20

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Solution

The fourth proportional to 521,767.60, 783,601.80 and 456,449.20 is: 685,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,767.60 : 783,601.80 = 456,449.20 : x
  2. Step 2: Convert to fraction form
    521,767.60/783,601.80 = 456,449.20/x
  3. Step 3: Cross multiply
    521,767.60x = 783,601.80 × 456,449.20
  4. Step 4: Simplify right side
    521,767.60x = 357,674,414,728.56
  5. Step 5: Solve for x
    x = 357,674,414,728.56/521,767.60
  6. Step 6: Final answer
    x = 685,505.22

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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.