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Finding the Fourth Proportional to 356,413.16, 491,866.32 and 203,492.72

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Solution

The fourth proportional to 356,413.16, 491,866.32 and 203,492.72 is: 280,829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,413.16 : 491,866.32 = 203,492.72 : x
  2. Step 2: Convert to fraction form
    356,413.16/491,866.32 = 203,492.72/x
  3. Step 3: Cross multiply
    356,413.16x = 491,866.32 × 203,492.72
  4. Step 4: Simplify right side
    356,413.16x = 100,091,215,333.19
  5. Step 5: Solve for x
    x = 100,091,215,333.19/356,413.16
  6. Step 6: Final answer
    x = 280,829.18

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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.