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Finding the Fourth Proportional to 550,080, 759,110.40 and 311,616

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Solution

The fourth proportional to 550,080, 759,110.40 and 311,616 is: 430,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,080 : 759,110.40 = 311,616 : x
  2. Step 2: Convert to fraction form
    550,080/759,110.40 = 311,616/x
  3. Step 3: Cross multiply
    550,080x = 759,110.40 × 311,616
  4. Step 4: Simplify right side
    550,080x = 236,550,946,406.40
  5. Step 5: Solve for x
    x = 236,550,946,406.40/550,080
  6. Step 6: Final answer
    x = 430,030.08

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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.