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Finding the Fourth Proportional to 509,713.92, 703,413.72 and 280,281.15

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Solution

The fourth proportional to 509,713.92, 703,413.72 and 280,281.15 is: 386,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,713.92 : 703,413.72 = 280,281.15 : x
  2. Step 2: Convert to fraction form
    509,713.92/703,413.72 = 280,281.15/x
  3. Step 3: Cross multiply
    509,713.92x = 703,413.72 × 280,281.15
  4. Step 4: Simplify right side
    509,713.92x = 197,153,606,367.38
  5. Step 5: Solve for x
    x = 197,153,606,367.38/509,713.92
  6. Step 6: Final answer
    x = 386,792.67

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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.