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Finding the Fourth Proportional to 415,225.20, 622,837.80 and 340,429.80

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Solution

The fourth proportional to 415,225.20, 622,837.80 and 340,429.80 is: 510,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,225.20 : 622,837.80 = 340,429.80 : x
  2. Step 2: Convert to fraction form
    415,225.20/622,837.80 = 340,429.80/x
  3. Step 3: Cross multiply
    415,225.20x = 622,837.80 × 340,429.80
  4. Step 4: Simplify right side
    415,225.20x = 212,032,547,686.44
  5. Step 5: Solve for x
    x = 212,032,547,686.44/415,225.20
  6. Step 6: Final answer
    x = 510,644.70

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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.