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Finding the Fourth Proportional to 442,041.68, 609,857.43 and 289,166.96

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Solution

The fourth proportional to 442,041.68, 609,857.43 and 289,166.96 is: 398,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,041.68 : 609,857.43 = 289,166.96 : x
  2. Step 2: Convert to fraction form
    442,041.68/609,857.43 = 289,166.96/x
  3. Step 3: Cross multiply
    442,041.68x = 609,857.43 × 289,166.96
  4. Step 4: Simplify right side
    442,041.68x = 176,350,619,066.51
  5. Step 5: Solve for x
    x = 176,350,619,066.51/442,041.68
  6. Step 6: Final answer
    x = 398,945.68

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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.