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Finding the Fourth Proportional to 509,866.16, 703,624.20 and 280,448.24

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Solution

The fourth proportional to 509,866.16, 703,624.20 and 280,448.24 is: 387,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,866.16 : 703,624.20 = 280,448.24 : x
  2. Step 2: Convert to fraction form
    509,866.16/703,624.20 = 280,448.24/x
  3. Step 3: Cross multiply
    509,866.16x = 703,624.20 × 280,448.24
  4. Step 4: Simplify right side
    509,866.16x = 197,330,168,511.41
  5. Step 5: Solve for x
    x = 197,330,168,511.41/509,866.16
  6. Step 6: Final answer
    x = 387,023.47

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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.