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Finding the Fourth Proportional to 417,973.71, 576,980.33 and 282,191.61

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Solution

The fourth proportional to 417,973.71, 576,980.33 and 282,191.61 is: 389,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,973.71 : 576,980.33 = 282,191.61 : x
  2. Step 2: Convert to fraction form
    417,973.71/576,980.33 = 282,191.61/x
  3. Step 3: Cross multiply
    417,973.71x = 576,980.33 × 282,191.61
  4. Step 4: Simplify right side
    417,973.71x = 162,819,008,261.03
  5. Step 5: Solve for x
    x = 162,819,008,261.03/417,973.71
  6. Step 6: Final answer
    x = 389,543.66

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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.