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Finding the Fourth Proportional to 654,626.72, 903,509.08 and 409,725.20

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Solution

The fourth proportional to 654,626.72, 903,509.08 and 409,725.20 is: 565,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,626.72 : 903,509.08 = 409,725.20 : x
  2. Step 2: Convert to fraction form
    654,626.72/903,509.08 = 409,725.20/x
  3. Step 3: Cross multiply
    654,626.72x = 903,509.08 × 409,725.20
  4. Step 4: Simplify right side
    654,626.72x = 370,190,438,504.82
  5. Step 5: Solve for x
    x = 370,190,438,504.82/654,626.72
  6. Step 6: Final answer
    x = 565,498.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.