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Finding the Fourth Proportional to 459,759.51, 688,742.60 and 259,474.05

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Solution

The fourth proportional to 459,759.51, 688,742.60 and 259,474.05 is: 388,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,759.51 : 688,742.60 = 259,474.05 : x
  2. Step 2: Convert to fraction form
    459,759.51/688,742.60 = 259,474.05/x
  3. Step 3: Cross multiply
    459,759.51x = 688,742.60 × 259,474.05
  4. Step 4: Simplify right side
    459,759.51x = 178,710,830,532.16
  5. Step 5: Solve for x
    x = 178,710,830,532.16/459,759.51
  6. Step 6: Final answer
    x = 388,705.02

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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.