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Finding the Fourth Proportional to 659,594.48, 989,463 and 210,209.72

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Solution

The fourth proportional to 659,594.48, 989,463 and 210,209.72 is: 315,337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,594.48 : 989,463 = 210,209.72 : x
  2. Step 2: Convert to fraction form
    659,594.48/989,463 = 210,209.72/x
  3. Step 3: Cross multiply
    659,594.48x = 989,463 × 210,209.72
  4. Step 4: Simplify right side
    659,594.48x = 207,994,740,180.36
  5. Step 5: Solve for x
    x = 207,994,740,180.36/659,594.48
  6. Step 6: Final answer
    x = 315,337.30

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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.