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Finding the Fourth Proportional to 516,608.08, 774,911.04 and 142,630

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Solution

The fourth proportional to 516,608.08, 774,911.04 and 142,630 is: 213,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,608.08 : 774,911.04 = 142,630 : x
  2. Step 2: Convert to fraction form
    516,608.08/774,911.04 = 142,630/x
  3. Step 3: Cross multiply
    516,608.08x = 774,911.04 × 142,630
  4. Step 4: Simplify right side
    516,608.08x = 110,525,561,635.20
  5. Step 5: Solve for x
    x = 110,525,561,635.20/516,608.08
  6. Step 6: Final answer
    x = 213,944.70

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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.