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Finding the Fourth Proportional to 413,939.10, 578,814.90 and 413,939.10

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Solution

The fourth proportional to 413,939.10, 578,814.90 and 413,939.10 is: 578,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,939.10 : 578,814.90 = 413,939.10 : x
  2. Step 2: Convert to fraction form
    413,939.10/578,814.90 = 413,939.10/x
  3. Step 3: Cross multiply
    413,939.10x = 578,814.90 × 413,939.10
  4. Step 4: Simplify right side
    413,939.10x = 239,594,118,772.59
  5. Step 5: Solve for x
    x = 239,594,118,772.59/413,939.10
  6. Step 6: Final answer
    x = 578,814.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.