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Finding the Fourth Proportional to 509,440.73, 703,035.51 and 280,019.23

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Solution

The fourth proportional to 509,440.73, 703,035.51 and 280,019.23 is: 386,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,440.73 : 703,035.51 = 280,019.23 : x
  2. Step 2: Convert to fraction form
    509,440.73/703,035.51 = 280,019.23/x
  3. Step 3: Cross multiply
    509,440.73x = 703,035.51 × 280,019.23
  4. Step 4: Simplify right side
    509,440.73x = 196,863,462,172.86
  5. Step 5: Solve for x
    x = 196,863,462,172.86/509,440.73
  6. Step 6: Final answer
    x = 386,430.55

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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.