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Finding the Fourth Proportional to 417,973.87, 576,980.45 and 282,191.68

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Solution

The fourth proportional to 417,973.87, 576,980.45 and 282,191.68 is: 389,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,973.87 : 576,980.45 = 282,191.68 : x
  2. Step 2: Convert to fraction form
    417,973.87/576,980.45 = 282,191.68/x
  3. Step 3: Cross multiply
    417,973.87x = 576,980.45 × 282,191.68
  4. Step 4: Simplify right side
    417,973.87x = 162,819,082,512.66
  5. Step 5: Solve for x
    x = 162,819,082,512.66/417,973.87
  6. Step 6: Final answer
    x = 389,543.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.