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Finding the Fourth Proportional to 509,709.20, 703,337.19 and 280,228.64

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Solution

The fourth proportional to 509,709.20, 703,337.19 and 280,228.64 is: 386,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,709.20 : 703,337.19 = 280,228.64 : x
  2. Step 2: Convert to fraction form
    509,709.20/703,337.19 = 280,228.64/x
  3. Step 3: Cross multiply
    509,709.20x = 703,337.19 × 280,228.64
  4. Step 4: Simplify right side
    509,709.20x = 197,095,224,215.12
  5. Step 5: Solve for x
    x = 197,095,224,215.12/509,709.20
  6. Step 6: Final answer
    x = 386,681.71

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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.