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Finding the Fourth Proportional to 507,326, 700,081.80 and 280,953.68

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Solution

The fourth proportional to 507,326, 700,081.80 and 280,953.68 is: 387,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,326 : 700,081.80 = 280,953.68 : x
  2. Step 2: Convert to fraction form
    507,326/700,081.80 = 280,953.68/x
  3. Step 3: Cross multiply
    507,326x = 700,081.80 × 280,953.68
  4. Step 4: Simplify right side
    507,326x = 196,690,558,011.02
  5. Step 5: Solve for x
    x = 196,690,558,011.02/507,326
  6. Step 6: Final answer
    x = 387,700.53

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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.