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Finding the Fourth Proportional to 289,666.20, 399,762.90 and 160,617.48

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Solution

The fourth proportional to 289,666.20, 399,762.90 and 160,617.48 is: 221,665.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,666.20 : 399,762.90 = 160,617.48 : x
  2. Step 2: Convert to fraction form
    289,666.20/399,762.90 = 160,617.48/x
  3. Step 3: Cross multiply
    289,666.20x = 399,762.90 × 160,617.48
  4. Step 4: Simplify right side
    289,666.20x = 64,208,909,595.49
  5. Step 5: Solve for x
    x = 64,208,909,595.49/289,666.20
  6. Step 6: Final answer
    x = 221,665.18

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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.