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Finding the Fourth Proportional to 459,809.01, 688,816.71 and 259,523.55

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Solution

The fourth proportional to 459,809.01, 688,816.71 and 259,523.55 is: 388,779.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,809.01 : 688,816.71 = 259,523.55 : x
  2. Step 2: Convert to fraction form
    459,809.01/688,816.71 = 259,523.55/x
  3. Step 3: Cross multiply
    459,809.01x = 688,816.71 × 259,523.55
  4. Step 4: Simplify right side
    459,809.01x = 178,764,157,878.52
  5. Step 5: Solve for x
    x = 178,764,157,878.52/459,809.01
  6. Step 6: Final answer
    x = 388,779.15

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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.