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Finding the Fourth Proportional to 257,413.34, 355,230.52 and 156,811.34

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Solution

The fourth proportional to 257,413.34, 355,230.52 and 156,811.34 is: 216,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,413.34 : 355,230.52 = 156,811.34 : x
  2. Step 2: Convert to fraction form
    257,413.34/355,230.52 = 156,811.34/x
  3. Step 3: Cross multiply
    257,413.34x = 355,230.52 × 156,811.34
  4. Step 4: Simplify right side
    257,413.34x = 55,704,173,850.10
  5. Step 5: Solve for x
    x = 55,704,173,850.10/257,413.34
  6. Step 6: Final answer
    x = 216,399.72

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1.5x scale

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.