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Finding the Fourth Proportional to 654,777.81, 903,717.54 and 409,876.47

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Solution

The fourth proportional to 654,777.81, 903,717.54 and 409,876.47 is: 565,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,777.81 : 903,717.54 = 409,876.47 : x
  2. Step 2: Convert to fraction form
    654,777.81/903,717.54 = 409,876.47/x
  3. Step 3: Cross multiply
    654,777.81x = 903,717.54 × 409,876.47
  4. Step 4: Simplify right side
    654,777.81x = 370,412,555,172.28
  5. Step 5: Solve for x
    x = 370,412,555,172.28/654,777.81
  6. Step 6: Final answer
    x = 565,707.25

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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.