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Finding the Fourth Proportional to 459,920.20, 634,688.92 and 258,716.20

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Solution

The fourth proportional to 459,920.20, 634,688.92 and 258,716.20 is: 357,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,920.20 : 634,688.92 = 258,716.20 : x
  2. Step 2: Convert to fraction form
    459,920.20/634,688.92 = 258,716.20/x
  3. Step 3: Cross multiply
    459,920.20x = 634,688.92 × 258,716.20
  4. Step 4: Simplify right side
    459,920.20x = 164,204,305,564.50
  5. Step 5: Solve for x
    x = 164,204,305,564.50/459,920.20
  6. Step 6: Final answer
    x = 357,027.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.