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Finding the Fourth Proportional to 500,880.88, 691,113.48 and 296,842

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Solution

The fourth proportional to 500,880.88, 691,113.48 and 296,842 is: 409,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,880.88 : 691,113.48 = 296,842 : x
  2. Step 2: Convert to fraction form
    500,880.88/691,113.48 = 296,842/x
  3. Step 3: Cross multiply
    500,880.88x = 691,113.48 × 296,842
  4. Step 4: Simplify right side
    500,880.88x = 205,151,507,630.16
  5. Step 5: Solve for x
    x = 205,151,507,630.16/500,880.88
  6. Step 6: Final answer
    x = 409,581.43

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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.