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Finding the Fourth Proportional to 315,478.61, 435,410.46 and 200,637.51

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Solution

The fourth proportional to 315,478.61, 435,410.46 and 200,637.51 is: 276,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,478.61 : 435,410.46 = 200,637.51 : x
  2. Step 2: Convert to fraction form
    315,478.61/435,410.46 = 200,637.51/x
  3. Step 3: Cross multiply
    315,478.61x = 435,410.46 × 200,637.51
  4. Step 4: Simplify right side
    315,478.61x = 87,359,670,522.35
  5. Step 5: Solve for x
    x = 87,359,670,522.35/315,478.61
  6. Step 6: Final answer
    x = 276,911.55

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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.