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Finding the Fourth Proportional to 527,135.40, 727,443.77 and 285,413.00

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Solution

The fourth proportional to 527,135.40, 727,443.77 and 285,413.00 is: 393,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,135.40 : 727,443.77 = 285,413.00 : x
  2. Step 2: Convert to fraction form
    527,135.40/727,443.77 = 285,413.00/x
  3. Step 3: Cross multiply
    527,135.40x = 727,443.77 × 285,413.00
  4. Step 4: Simplify right side
    527,135.40x = 207,621,903,662.73
  5. Step 5: Solve for x
    x = 207,621,903,662.73/527,135.40
  6. Step 6: Final answer
    x = 393,868.26

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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.