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Finding the Fourth Proportional to 493,434.80, 680,956.44 and 302,411.24

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Solution

The fourth proportional to 493,434.80, 680,956.44 and 302,411.24 is: 417,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,434.80 : 680,956.44 = 302,411.24 : x
  2. Step 2: Convert to fraction form
    493,434.80/680,956.44 = 302,411.24/x
  3. Step 3: Cross multiply
    493,434.80x = 680,956.44 × 302,411.24
  4. Step 4: Simplify right side
    493,434.80x = 205,928,881,406.39
  5. Step 5: Solve for x
    x = 205,928,881,406.39/493,434.80
  6. Step 6: Final answer
    x = 417,337.57

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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.