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Finding the Fourth Proportional to 391,955.77, 540,319.03 and 305,817.13

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Solution

The fourth proportional to 391,955.77, 540,319.03 and 305,817.13 is: 421,575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,955.77 : 540,319.03 = 305,817.13 : x
  2. Step 2: Convert to fraction form
    391,955.77/540,319.03 = 305,817.13/x
  3. Step 3: Cross multiply
    391,955.77x = 540,319.03 × 305,817.13
  4. Step 4: Simplify right side
    391,955.77x = 165,238,815,038.98
  5. Step 5: Solve for x
    x = 165,238,815,038.98/391,955.77
  6. Step 6: Final answer
    x = 421,575.16

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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.