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Finding the Fourth Proportional to 509,684.01, 703,345.02 and 280,227.65

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Solution

The fourth proportional to 509,684.01, 703,345.02 and 280,227.65 is: 386,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,684.01 : 703,345.02 = 280,227.65 : x
  2. Step 2: Convert to fraction form
    509,684.01/703,345.02 = 280,227.65/x
  3. Step 3: Cross multiply
    509,684.01x = 703,345.02 × 280,227.65
  4. Step 4: Simplify right side
    509,684.01x = 197,096,723,058.82
  5. Step 5: Solve for x
    x = 197,096,723,058.82/509,684.01
  6. Step 6: Final answer
    x = 386,703.76

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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.