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Finding the Fourth Proportional to 289,485.42, 399,505.28 and 160,438.02

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Solution

The fourth proportional to 289,485.42, 399,505.28 and 160,438.02 is: 221,413.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,485.42 : 399,505.28 = 160,438.02 : x
  2. Step 2: Convert to fraction form
    289,485.42/399,505.28 = 160,438.02/x
  3. Step 3: Cross multiply
    289,485.42x = 399,505.28 × 160,438.02
  4. Step 4: Simplify right side
    289,485.42x = 64,095,835,300.56
  5. Step 5: Solve for x
    x = 64,095,835,300.56/289,485.42
  6. Step 6: Final answer
    x = 221,413.00

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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.