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Finding the Fourth Proportional to 659,309.76, 909,847.98 and 357,503.76

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Solution

The fourth proportional to 659,309.76, 909,847.98 and 357,503.76 is: 493,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,309.76 : 909,847.98 = 357,503.76 : x
  2. Step 2: Convert to fraction form
    659,309.76/909,847.98 = 357,503.76/x
  3. Step 3: Cross multiply
    659,309.76x = 909,847.98 × 357,503.76
  4. Step 4: Simplify right side
    659,309.76x = 325,274,073,878.41
  5. Step 5: Solve for x
    x = 325,274,073,878.41/659,309.76
  6. Step 6: Final answer
    x = 493,355.47

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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.