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Finding the Fourth Proportional to 976,543, 1,464,803.54 and 345,309.18

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Solution

The fourth proportional to 976,543, 1,464,803.54 and 345,309.18 is: 517,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,543 : 1,464,803.54 = 345,309.18 : x
  2. Step 2: Convert to fraction form
    976,543/1,464,803.54 = 345,309.18/x
  3. Step 3: Cross multiply
    976,543x = 1,464,803.54 × 345,309.18
  4. Step 4: Simplify right side
    976,543x = 505,810,109,258.50
  5. Step 5: Solve for x
    x = 505,810,109,258.50/976,543
  6. Step 6: Final answer
    x = 517,959.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.