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Finding the Fourth Proportional to 459,744.40, 689,616.60 and 207,145.90

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Solution

The fourth proportional to 459,744.40, 689,616.60 and 207,145.90 is: 310,718.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,744.40 : 689,616.60 = 207,145.90 : x
  2. Step 2: Convert to fraction form
    459,744.40/689,616.60 = 207,145.90/x
  3. Step 3: Cross multiply
    459,744.40x = 689,616.60 × 207,145.90
  4. Step 4: Simplify right side
    459,744.40x = 142,851,251,261.94
  5. Step 5: Solve for x
    x = 142,851,251,261.94/459,744.40
  6. Step 6: Final answer
    x = 310,718.85

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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.