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Finding the Fourth Proportional to 520,597.35, 781,090.43 and 205,274.07

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Solution

The fourth proportional to 520,597.35, 781,090.43 and 205,274.07 is: 307,987.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,597.35 : 781,090.43 = 205,274.07 : x
  2. Step 2: Convert to fraction form
    520,597.35/781,090.43 = 205,274.07/x
  3. Step 3: Cross multiply
    520,597.35x = 781,090.43 × 205,274.07
  4. Step 4: Simplify right side
    520,597.35x = 160,337,610,577.78
  5. Step 5: Solve for x
    x = 160,337,610,577.78/520,597.35
  6. Step 6: Final answer
    x = 307,987.76

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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.