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Finding the Fourth Proportional to 459,859.75, 689,828.51 and 127,435.75

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Solution

The fourth proportional to 459,859.75, 689,828.51 and 127,435.75 is: 191,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,859.75 : 689,828.51 = 127,435.75 : x
  2. Step 2: Convert to fraction form
    459,859.75/689,828.51 = 127,435.75/x
  3. Step 3: Cross multiply
    459,859.75x = 689,828.51 × 127,435.75
  4. Step 4: Simplify right side
    459,859.75x = 87,908,813,543.23
  5. Step 5: Solve for x
    x = 87,908,813,543.23/459,859.75
  6. Step 6: Final answer
    x = 191,164.40

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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.