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Finding the Fourth Proportional to 516,461.94, 774,737.55 and 142,484.94

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Solution

The fourth proportional to 516,461.94, 774,737.55 and 142,484.94 is: 213,739.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,461.94 : 774,737.55 = 142,484.94 : x
  2. Step 2: Convert to fraction form
    516,461.94/774,737.55 = 142,484.94/x
  3. Step 3: Cross multiply
    516,461.94x = 774,737.55 × 142,484.94
  4. Step 4: Simplify right side
    516,461.94x = 110,388,433,327.50
  5. Step 5: Solve for x
    x = 110,388,433,327.50/516,461.94
  6. Step 6: Final answer
    x = 213,739.73

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1.5x scale

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.