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Finding the Fourth Proportional to 659,403, 909,976.68 and 357,597

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Solution

The fourth proportional to 659,403, 909,976.68 and 357,597 is: 493,484.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,403 : 909,976.68 = 357,597 : x
  2. Step 2: Convert to fraction form
    659,403/909,976.68 = 357,597/x
  3. Step 3: Cross multiply
    659,403x = 909,976.68 × 357,597
  4. Step 4: Simplify right side
    659,403x = 325,404,930,837.96
  5. Step 5: Solve for x
    x = 325,404,930,837.96/659,403
  6. Step 6: Final answer
    x = 493,484.15

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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.