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Finding the Fourth Proportional to 516,462.21, 774,737.96 and 142,485.21

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Solution

The fourth proportional to 516,462.21, 774,737.96 and 142,485.21 is: 213,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,462.21 : 774,737.96 = 142,485.21 : x
  2. Step 2: Convert to fraction form
    516,462.21/774,737.96 = 142,485.21/x
  3. Step 3: Cross multiply
    516,462.21x = 774,737.96 × 142,485.21
  4. Step 4: Simplify right side
    516,462.21x = 110,388,700,213.15
  5. Step 5: Solve for x
    x = 110,388,700,213.15/516,462.21
  6. Step 6: Final answer
    x = 213,740.13

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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.