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Finding the Fourth Proportional to 413,325.78, 619,411.26 and 223,376.64

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Solution

The fourth proportional to 413,325.78, 619,411.26 and 223,376.64 is: 334,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,325.78 : 619,411.26 = 223,376.64 : x
  2. Step 2: Convert to fraction form
    413,325.78/619,411.26 = 223,376.64/x
  3. Step 3: Cross multiply
    413,325.78x = 619,411.26 × 223,376.64
  4. Step 4: Simplify right side
    413,325.78x = 138,362,006,036.97
  5. Step 5: Solve for x
    x = 138,362,006,036.97/413,325.78
  6. Step 6: Final answer
    x = 334,752.91

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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.