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Finding the Fourth Proportional to 257,413.80, 385,725.96 and 117,008.40

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Solution

The fourth proportional to 257,413.80, 385,725.96 and 117,008.40 is: 175,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.80 : 385,725.96 = 117,008.40 : x
  2. Step 2: Convert to fraction form
    257,413.80/385,725.96 = 117,008.40/x
  3. Step 3: Cross multiply
    257,413.80x = 385,725.96 × 117,008.40
  4. Step 4: Simplify right side
    257,413.80x = 45,133,177,418.06
  5. Step 5: Solve for x
    x = 45,133,177,418.06/257,413.80
  6. Step 6: Final answer
    x = 175,333.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.