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Finding the Fourth Proportional to 546,749.32, 754,512.95 and 305,017.47

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Solution

The fourth proportional to 546,749.32, 754,512.95 and 305,017.47 is: 420,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,749.32 : 754,512.95 = 305,017.47 : x
  2. Step 2: Convert to fraction form
    546,749.32/754,512.95 = 305,017.47/x
  3. Step 3: Cross multiply
    546,749.32x = 754,512.95 × 305,017.47
  4. Step 4: Simplify right side
    546,749.32x = 230,139,633,117.99
  5. Step 5: Solve for x
    x = 230,139,633,117.99/546,749.32
  6. Step 6: Final answer
    x = 420,923.49

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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.