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Finding the Fourth Proportional to 516,454.34, 774,726.17 and 142,477.34

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Solution

The fourth proportional to 516,454.34, 774,726.17 and 142,477.34 is: 213,728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,454.34 : 774,726.17 = 142,477.34 : x
  2. Step 2: Convert to fraction form
    516,454.34/774,726.17 = 142,477.34/x
  3. Step 3: Cross multiply
    516,454.34x = 774,726.17 × 142,477.34
  4. Step 4: Simplify right side
    516,454.34x = 110,380,923,929.99
  5. Step 5: Solve for x
    x = 110,380,923,929.99/516,454.34
  6. Step 6: Final answer
    x = 213,728.33

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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.