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Finding the Fourth Proportional to 659,163, 909,644.94 and 357,357

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Solution

The fourth proportional to 659,163, 909,644.94 and 357,357 is: 493,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,163 : 909,644.94 = 357,357 : x
  2. Step 2: Convert to fraction form
    659,163/909,644.94 = 357,357/x
  3. Step 3: Cross multiply
    659,163x = 909,644.94 × 357,357
  4. Step 4: Simplify right side
    659,163x = 325,067,986,823.58
  5. Step 5: Solve for x
    x = 325,067,986,823.58/659,163
  6. Step 6: Final answer
    x = 493,152.66

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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.