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Finding the Fourth Proportional to 516,465.66, 774,743.16 and 142,488.66

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Solution

The fourth proportional to 516,465.66, 774,743.16 and 142,488.66 is: 213,745.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,465.66 : 774,743.16 = 142,488.66 : x
  2. Step 2: Convert to fraction form
    516,465.66/774,743.16 = 142,488.66/x
  3. Step 3: Cross multiply
    516,465.66x = 774,743.16 × 142,488.66
  4. Step 4: Simplify right side
    516,465.66x = 110,392,114,712.57
  5. Step 5: Solve for x
    x = 110,392,114,712.57/516,465.66
  6. Step 6: Final answer
    x = 213,745.31

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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.