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Finding the Fourth Proportional to 459,688, 689,765.28 and 210,432.64

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Solution

The fourth proportional to 459,688, 689,765.28 and 210,432.64 is: 315,755.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,688 : 689,765.28 = 210,432.64 : x
  2. Step 2: Convert to fraction form
    459,688/689,765.28 = 210,432.64/x
  3. Step 3: Cross multiply
    459,688x = 689,765.28 × 210,432.64
  4. Step 4: Simplify right side
    459,688x = 145,149,128,850.74
  5. Step 5: Solve for x
    x = 145,149,128,850.74/459,688
  6. Step 6: Final answer
    x = 315,755.75

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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.