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Finding the Fourth Proportional to 520,012.78, 780,053.19 and 160,139.50

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Solution

The fourth proportional to 520,012.78, 780,053.19 and 160,139.50 is: 240,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,012.78 : 780,053.19 = 160,139.50 : x
  2. Step 2: Convert to fraction form
    520,012.78/780,053.19 = 160,139.50/x
  3. Step 3: Cross multiply
    520,012.78x = 780,053.19 × 160,139.50
  4. Step 4: Simplify right side
    520,012.78x = 124,917,327,820.01
  5. Step 5: Solve for x
    x = 124,917,327,820.01/520,012.78
  6. Step 6: Final answer
    x = 240,219.73

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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.