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Finding the Fourth Proportional to 401,413.68, 553,946.31 and 231,644.16

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Solution

The fourth proportional to 401,413.68, 553,946.31 and 231,644.16 is: 319,666.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,413.68 : 553,946.31 = 231,644.16 : x
  2. Step 2: Convert to fraction form
    401,413.68/553,946.31 = 231,644.16/x
  3. Step 3: Cross multiply
    401,413.68x = 553,946.31 × 231,644.16
  4. Step 4: Simplify right side
    401,413.68x = 128,318,427,665.05
  5. Step 5: Solve for x
    x = 128,318,427,665.05/401,413.68
  6. Step 6: Final answer
    x = 319,666.30

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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.