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Finding the Fourth Proportional to 520,820.15, 780,971.78 and 165,788.01

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Solution

The fourth proportional to 520,820.15, 780,971.78 and 165,788.01 is: 248,599.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,820.15 : 780,971.78 = 165,788.01 : x
  2. Step 2: Convert to fraction form
    520,820.15/780,971.78 = 165,788.01/x
  3. Step 3: Cross multiply
    520,820.15x = 780,971.78 × 165,788.01
  4. Step 4: Simplify right side
    520,820.15x = 129,475,757,686.83
  5. Step 5: Solve for x
    x = 129,475,757,686.83/520,820.15
  6. Step 6: Final answer
    x = 248,599.75

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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.