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Finding the Fourth Proportional to 459,004.80, 688,507.20 and 256,051.20

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Solution

The fourth proportional to 459,004.80, 688,507.20 and 256,051.20 is: 384,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,004.80 : 688,507.20 = 256,051.20 : x
  2. Step 2: Convert to fraction form
    459,004.80/688,507.20 = 256,051.20/x
  3. Step 3: Cross multiply
    459,004.80x = 688,507.20 × 256,051.20
  4. Step 4: Simplify right side
    459,004.80x = 176,293,094,768.64
  5. Step 5: Solve for x
    x = 176,293,094,768.64/459,004.80
  6. Step 6: Final answer
    x = 384,076.80

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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.