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Finding the Fourth Proportional to 289,590.27, 399,634.67 and 176,413.02

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Solution

The fourth proportional to 289,590.27, 399,634.67 and 176,413.02 is: 243,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,590.27 : 399,634.67 = 176,413.02 : x
  2. Step 2: Convert to fraction form
    289,590.27/399,634.67 = 176,413.02/x
  3. Step 3: Cross multiply
    289,590.27x = 399,634.67 × 176,413.02
  4. Step 4: Simplify right side
    289,590.27x = 70,500,759,031.40
  5. Step 5: Solve for x
    x = 70,500,759,031.40/289,590.27
  6. Step 6: Final answer
    x = 243,450.03

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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.