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Finding the Fourth Proportional to 650,607.50, 898,392.48 and 409,293.92

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Solution

The fourth proportional to 650,607.50, 898,392.48 and 409,293.92 is: 565,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,607.50 : 898,392.48 = 409,293.92 : x
  2. Step 2: Convert to fraction form
    650,607.50/898,392.48 = 409,293.92/x
  3. Step 3: Cross multiply
    650,607.50x = 898,392.48 × 409,293.92
  4. Step 4: Simplify right side
    650,607.50x = 367,706,579,837.72
  5. Step 5: Solve for x
    x = 367,706,579,837.72/650,607.50
  6. Step 6: Final answer
    x = 565,174.21

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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.