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Finding the Fourth Proportional to 659,730.32, 910,424.04 and 357,917.84

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Solution

The fourth proportional to 659,730.32, 910,424.04 and 357,917.84 is: 493,924.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,730.32 : 910,424.04 = 357,917.84 : x
  2. Step 2: Convert to fraction form
    659,730.32/910,424.04 = 357,917.84/x
  3. Step 3: Cross multiply
    659,730.32x = 910,424.04 × 357,917.84
  4. Step 4: Simplify right side
    659,730.32x = 325,857,005,880.87
  5. Step 5: Solve for x
    x = 325,857,005,880.87/659,730.32
  6. Step 6: Final answer
    x = 493,924.56

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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.