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Finding the Fourth Proportional to 493,411.72, 680,924.66 and 302,388.20

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Solution

The fourth proportional to 493,411.72, 680,924.66 and 302,388.20 is: 417,305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,411.72 : 680,924.66 = 302,388.20 : x
  2. Step 2: Convert to fraction form
    493,411.72/680,924.66 = 302,388.20/x
  3. Step 3: Cross multiply
    493,411.72x = 680,924.66 × 302,388.20
  4. Step 4: Simplify right side
    493,411.72x = 205,903,582,273.01
  5. Step 5: Solve for x
    x = 205,903,582,273.01/493,411.72
  6. Step 6: Final answer
    x = 417,305.82

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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.