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Finding the Fourth Proportional to 459,575.32, 689,484.48 and 210,199

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Solution

The fourth proportional to 459,575.32, 689,484.48 and 210,199 is: 315,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,575.32 : 689,484.48 = 210,199 : x
  2. Step 2: Convert to fraction form
    459,575.32/689,484.48 = 210,199/x
  3. Step 3: Cross multiply
    459,575.32x = 689,484.48 × 210,199
  4. Step 4: Simplify right side
    459,575.32x = 144,928,948,211.52
  5. Step 5: Solve for x
    x = 144,928,948,211.52/459,575.32
  6. Step 6: Final answer
    x = 315,354.07

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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.