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Finding the Fourth Proportional to 380,497.40, 525,080.11 and 208,413.76

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Solution

The fourth proportional to 380,497.40, 525,080.11 and 208,413.76 is: 287,607.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,497.40 : 525,080.11 = 208,413.76 : x
  2. Step 2: Convert to fraction form
    380,497.40/525,080.11 = 208,413.76/x
  3. Step 3: Cross multiply
    380,497.40x = 525,080.11 × 208,413.76
  4. Step 4: Simplify right side
    380,497.40x = 109,433,916,358.84
  5. Step 5: Solve for x
    x = 109,433,916,358.84/380,497.40
  6. Step 6: Final answer
    x = 287,607.53

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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.