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Finding the Fourth Proportional to 413,656.27, 621,009.42 and 351,720.43

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Solution

The fourth proportional to 413,656.27, 621,009.42 and 351,720.43 is: 528,027.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,656.27 : 621,009.42 = 351,720.43 : x
  2. Step 2: Convert to fraction form
    413,656.27/621,009.42 = 351,720.43/x
  3. Step 3: Cross multiply
    413,656.27x = 621,009.42 × 351,720.43
  4. Step 4: Simplify right side
    413,656.27x = 218,421,700,236.45
  5. Step 5: Solve for x
    x = 218,421,700,236.45/413,656.27
  6. Step 6: Final answer
    x = 528,027.05

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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.