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Finding the Fourth Proportional to 409,860, 614,831 and 125,547.26

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Solution

The fourth proportional to 409,860, 614,831 and 125,547.26 is: 188,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,860 : 614,831 = 125,547.26 : x
  2. Step 2: Convert to fraction form
    409,860/614,831 = 125,547.26/x
  3. Step 3: Cross multiply
    409,860x = 614,831 × 125,547.26
  4. Step 4: Simplify right side
    409,860x = 77,190,347,413.06
  5. Step 5: Solve for x
    x = 77,190,347,413.06/409,860
  6. Step 6: Final answer
    x = 188,333.45

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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.