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Finding the Fourth Proportional to 289,501.75, 399,506.66 and 160,437.54

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Solution

The fourth proportional to 289,501.75, 399,506.66 and 160,437.54 is: 221,400.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,501.75 : 399,506.66 = 160,437.54 : x
  2. Step 2: Convert to fraction form
    289,501.75/399,506.66 = 160,437.54/x
  3. Step 3: Cross multiply
    289,501.75x = 399,506.66 × 160,437.54
  4. Step 4: Simplify right side
    289,501.75x = 64,095,865,744.02
  5. Step 5: Solve for x
    x = 64,095,865,744.02/289,501.75
  6. Step 6: Final answer
    x = 221,400.62

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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.