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Finding the Fourth Proportional to 202,413.60, 303,814.80 and 172,864.80

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Solution

The fourth proportional to 202,413.60, 303,814.80 and 172,864.80 is: 259,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,413.60 : 303,814.80 = 172,864.80 : x
  2. Step 2: Convert to fraction form
    202,413.60/303,814.80 = 172,864.80/x
  3. Step 3: Cross multiply
    202,413.60x = 303,814.80 × 172,864.80
  4. Step 4: Simplify right side
    202,413.60x = 52,518,884,639.04
  5. Step 5: Solve for x
    x = 52,518,884,639.04/202,413.60
  6. Step 6: Final answer
    x = 259,463.22

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1.5x scale

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.