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Finding the Fourth Proportional to 550,212, 759,304.08 and 311,748

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Solution

The fourth proportional to 550,212, 759,304.08 and 311,748 is: 430,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,212 : 759,304.08 = 311,748 : x
  2. Step 2: Convert to fraction form
    550,212/759,304.08 = 311,748/x
  3. Step 3: Cross multiply
    550,212x = 759,304.08 × 311,748
  4. Step 4: Simplify right side
    550,212x = 236,711,528,331.84
  5. Step 5: Solve for x
    x = 236,711,528,331.84/550,212
  6. Step 6: Final answer
    x = 430,218.77

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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.