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Finding the Fourth Proportional to 659,163, 988,847.64 and 209,984.52

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Solution

The fourth proportional to 659,163, 988,847.64 and 209,984.52 is: 315,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,163 : 988,847.64 = 209,984.52 : x
  2. Step 2: Convert to fraction form
    659,163/988,847.64 = 209,984.52/x
  3. Step 3: Cross multiply
    659,163x = 988,847.64 × 209,984.52
  4. Step 4: Simplify right side
    659,163x = 207,642,697,038.53
  5. Step 5: Solve for x
    x = 207,642,697,038.53/659,163
  6. Step 6: Final answer
    x = 315,009.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.